Oscillatory Models In General Relativity

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Oscillatory Models in General Relativity

Author : Esra Russell
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110515229
Total Pages : 185 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Oscillatory Models in General Relativity by : Esra Russell

Download or read book Oscillatory Models in General Relativity written by Esra Russell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. Contents Part I: Dissipative geometry and general relativity theory Pseudo-Riemannian geometry and general relativity Dynamics of universe models Anisotropic and homogeneous universe models Metric waves in a nonstationary universe and dissipative oscillator Bosonic and fermionic models of a Friedman–Robertson–Walker universe Time dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipations Lagrangian and Hamilton descriptions Damped oscillator: classical and quantum theory Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency Riccati representation of time dependent damped oscillators Quantization of the harmonic oscillator with time dependent parameters

Oscillatory Models in General Relativity

Author : Esra Russell
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110515369
Total Pages : 154 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Oscillatory Models in General Relativity by : Esra Russell

Download or read book Oscillatory Models in General Relativity written by Esra Russell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. Contents Part I: Dissipative geometry and general relativity theory Pseudo-Riemannian geometry and general relativity Dynamics of universe models Anisotropic and homogeneous universe models Metric waves in a nonstationary universe and dissipative oscillator Bosonic and fermionic models of a Friedman–Robertson–Walker universe Time dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipations Lagrangian and Hamilton descriptions Damped oscillator: classical and quantum theory Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency Riccati representation of time dependent damped oscillators Quantization of the harmonic oscillator with time dependent parameters

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 2006 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 2006 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics

Author : Stephen Paul Braham
Publisher : American Mathematical Soc.
ISBN 13 : 0821805231
Total Pages : 389 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics by : Stephen Paul Braham

Download or read book The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics written by Stephen Paul Braham and published by American Mathematical Soc.. This book was released on 1997 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the-art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. It features: review articles in key areas - black holes, numerical relativity, etc.; contributions covering most of gravitational physics; useful articles for students who wish to begin exploring the issues discussed; and, invited talks given by researchers known for their ability to communicate their expertise.

Genesis of the Big Bang

Author : Ralph A. Alpher
Publisher : Oxford University Press
ISBN 13 : 9780199761821
Total Pages : 232 pages
Book Rating : 4.7/5 (618 download)

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Book Synopsis Genesis of the Big Bang by : Ralph A. Alpher

Download or read book Genesis of the Big Bang written by Ralph A. Alpher and published by Oxford University Press. This book was released on 2001-02-08 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors of this volume have been intimately connected with the conception of the Big Bang model since 1947. Following the late George Gamow's ideas in 1942 and more particularly in 1946 that the early universe was an appropriate site for the synthesis of the elements, they became deeply involved in the question of cosmic nucleosynthesis and particularly the synthesis of the light elements. In the course of this work they developed a general relativistic model of the expanding universe with physics folded in, which led in a progressive, logical sequence to our prediction of the existence of a present cosmic background radiation some seventeen years before the observation of such radiation was reported by Penzias and Wilson. In addition, they carried out with James W. Follin, Jr., a detailed study of the physics of what was then considered to be the very early universe, starting a few seconds after the Big Bang, which still provides a methodology for studies of light element nucleosynthesis. Because of their involvement, they bring a personal perspective to the subject. They present a picture of what is now believed to be the state of knowledge about the evolution of the expanding universe and delineate the story of the development of the Big Bang model as they have seen and lived it from their own unique vantage point.

General Relativity and Gravitation

Author : M. A. H. MacCallum
Publisher : CUP Archive
ISBN 13 : 9780521332965
Total Pages : 440 pages
Book Rating : 4.3/5 (329 download)

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Book Synopsis General Relativity and Gravitation by : M. A. H. MacCallum

Download or read book General Relativity and Gravitation written by M. A. H. MacCallum and published by CUP Archive. This book was released on 1987-09-24 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Allure of the Multiverse

Author : Paul Halpern
Publisher : Basic Books
ISBN 13 : 1541602188
Total Pages : 307 pages
Book Rating : 4.5/5 (416 download)

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Book Synopsis The Allure of the Multiverse by : Paul Halpern

Download or read book The Allure of the Multiverse written by Paul Halpern and published by Basic Books. This book was released on 2024-01-16 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A rich and rewarding history of one of the most astounding ideas in physics and astronomy” (Marcia Bartusiak) – that the universe we know isn’t the only one Our books, our movies—our imaginations—are obsessed with extra dimensions, alternate timelines, and the sense that all we see might not be all there is. In short, we can’t stop thinking about the multiverse. As it turns out, physicists are similarly captivated. In The Allure of the Multiverse, physicist Paul Halpern tells the epic story of how science became besotted with the multiverse, and the controversies that ensued. The questions that brought scientists to this point are big and deep: Is reality such that anything can happen, must happen? How does quantum mechanics “choose” the outcomes of its apparently random processes? And why is the universe habitable? Each question quickly leads to the multiverse. Drawing on centuries of disputation and deep vision, from luminaries like Nietzsche, Einstein, and the creators of the Marvel Cinematic Universe, Halpern reveals the multiplicity of multiverses that scientists have imagined to make sense of our reality. Whether we live in one of many different possible universes, or simply the only one there is, might never be certain. But Halpern shows one thing for sure: how stimulating it can be to try to find out.

General Relativity and Gravitation, 1989

Author : Neil Ashby
Publisher : Cambridge University Press
ISBN 13 : 9780521384285
Total Pages : 526 pages
Book Rating : 4.3/5 (842 download)

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Book Synopsis General Relativity and Gravitation, 1989 by : Neil Ashby

Download or read book General Relativity and Gravitation, 1989 written by Neil Ashby and published by Cambridge University Press. This book was released on 1990-10-26 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the twelfth triannual International Conference on General Relativity and Gravitation, the premier conference for presentation and discussion of new ideas in relativity and cosmology. The volume will contain the invited talks as well as short reports on the parallel workshops that took place at the meeting. It will be essential reading for all research workers in relativity, cosmology and astrophysics.

Einstein’s Field Equations and Their Physical Implications

Author : Bernd G. Schmidt
Publisher : Springer
ISBN 13 : 3540465804
Total Pages : 443 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Einstein’s Field Equations and Their Physical Implications by : Bernd G. Schmidt

Download or read book Einstein’s Field Equations and Their Physical Implications written by Bernd G. Schmidt and published by Springer. This book was released on 2008-01-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.

Classical and Quantum Cosmology

Author : Gianluca Calcagni
Publisher : Springer
ISBN 13 : 3319411276
Total Pages : 854 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Classical and Quantum Cosmology by : Gianluca Calcagni

Download or read book Classical and Quantum Cosmology written by Gianluca Calcagni and published by Springer. This book was released on 2017-01-06 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.

Extracting Knowledge From Time Series

Author : Boris P. Bezruchko
Publisher : Springer Science & Business Media
ISBN 13 : 3642126014
Total Pages : 416 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Extracting Knowledge From Time Series by : Boris P. Bezruchko

Download or read book Extracting Knowledge From Time Series written by Boris P. Bezruchko and published by Springer Science & Business Media. This book was released on 2010-09-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

Nonlinear Evolution Equations and Dynamical Systems

Author : Vladimir G. Makhankov
Publisher : Springer Science & Business Media
ISBN 13 : 3642761720
Total Pages : 256 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Nonlinear Evolution Equations and Dynamical Systems by : Vladimir G. Makhankov

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Vladimir G. Makhankov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 6th International Workshop, 16-26 July 1990, Dubna, USSR

Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes)

Download Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes) PDF Online Free

Author : Remo Ruffini
Publisher : World Scientific
ISBN 13 : 9814630004
Total Pages : 2807 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes) by : Remo Ruffini

Download or read book Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes) written by Remo Ruffini and published by World Scientific. This book was released on 2015-01-26 with total page 2807 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marcel Grossmann Meetings seek to further the development of the foundations and applications of Einstein's general relativity by promoting theoretical understanding in the relevant fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. The meetings discuss recent developments in classical and quantum aspects of gravity, and in cosmology and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, having the main objective of gathering scientists from diverse backgrounds for deepening our understanding of spacetime structure and reviewing the current state of the art in the theory, observations and experiments pertinent to relativistic gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity, branes and strings, to more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG13 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 33 morning plenary talks during 6 days, and 75 parallel sessions over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string/brane theories, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star and pulsar astrophysics. Volumes B and C include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, quasors, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, and cosmic rays and the history of general relativity.

Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts)

Download Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) PDF Online Free

Author : Massimo Bianchi
Publisher : World Scientific
ISBN 13 : 9813226617
Total Pages : 4784 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) by : Massimo Bianchi

Download or read book Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) written by Massimo Bianchi and published by World Scientific. This book was released on 2017-10-13 with total page 4784 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics.The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.

Model Emergent Dynamics in Complex Systems

Author : A. J. Roberts
Publisher : SIAM
ISBN 13 : 1611973554
Total Pages : 760 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Model Emergent Dynamics in Complex Systems by : A. J. Roberts

Download or read book Model Emergent Dynamics in Complex Systems written by A. J. Roberts and published by SIAM. This book was released on 2014-12-18 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author’s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author’s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces—simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model’s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory. Audience Advanced undergraduate and graduate students, engineers, scientists, and other researchers who need to understand systems and modeling at different levels of resolution and complexity will all find this book useful.

Compact Objects in Astrophysics

Author : Max Camenzind
Publisher : Springer Science & Business Media
ISBN 13 : 3540499121
Total Pages : 691 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Compact Objects in Astrophysics by : Max Camenzind

Download or read book Compact Objects in Astrophysics written by Max Camenzind and published by Springer Science & Business Media. This book was released on 2007-02-24 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern comprehensive introduction and overview of the physics of White Dwarfs, Neutron Stars and Black Holes, including all relevant observations. Contains a basic introduction to General Relativity, including the modern 3+1 split of spacetime and of Einstein’s equations. The split is used for the first time to derive the structure equations for rapidly rotating neutron stars and Black Holes. Detailed discussions and derivations of current theoretical results. In particular also the most recent equations of state for neutron star matter are explained. Topics , such as colour superconductivity are discussed and used for modelling. A book for graduate students and researchers. Contains exercises and some solutions.

General Relativity and Gravitation 1992, Proceedings of the Thirteenth INT Conference on General Relativity and Gravitation, held at Cordoba, Argentina, 28 June - July 4 1992

Download General Relativity and Gravitation 1992, Proceedings of the Thirteenth INT Conference on General Relativity and Gravitation, held at Cordoba, Argentina, 28 June - July 4 1992 PDF Online Free

Author : R.J. Gleiser
Publisher : CRC Press
ISBN 13 : 9780750302616
Total Pages : 460 pages
Book Rating : 4.3/5 (26 download)

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Book Synopsis General Relativity and Gravitation 1992, Proceedings of the Thirteenth INT Conference on General Relativity and Gravitation, held at Cordoba, Argentina, 28 June - July 4 1992 by : R.J. Gleiser

Download or read book General Relativity and Gravitation 1992, Proceedings of the Thirteenth INT Conference on General Relativity and Gravitation, held at Cordoba, Argentina, 28 June - July 4 1992 written by R.J. Gleiser and published by CRC Press. This book was released on 1993-01-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity and Gravitation 1992 contains the best of 700 papers presented at the tri-annual INT conference, generally recognized as the key conference in the area. The plenary and invited papers are published in full, along with summaries of parallel symposia and workshops. The list of plenary speakers is as impressive as ever, with contributions from Jim Hartle, Roger Penrose, and Lee Smolin among many others.