Oscillatory Models in General Relativity

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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

Damping Oscillatory Models In General Theory of Relativity

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Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.:/5 (421 download)

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Book Synopsis Damping Oscillatory Models In General Theory of Relativity by : Esra Tığrak Ulaş

Download or read book Damping Oscillatory Models In General Theory of Relativity written by Esra Tığrak Ulaş and published by . This book was released on 2007 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In my thesis we have studied the universe models as dynamical systems which can be represented by harmonic oscillators. For example, a harmonic oscillatior equation is constructed by the transformation of the Riccati differential equations for the anisotropic and homogeneous metric. The solution of the Friedman equations with the state equation satisfies both bosonic expansion and fermionic contraction in Friedman Robertson Walker universe with different curvatures is studied as a conservative system with the harmonic oscillator equations. Apart from the oscillator representations mentioned above (constructed from the universe models), we showed that the linearization of the Einstein field equations produces harmonic oscillator equation with constant frequency and the linearization of the metric on the de-Sitter background produces damped harmonic oscillator system. In addition to these, we have constructed the doublet and the Caldirola type oscillator equations with time dependent damping and frequency terms in the light of the Sturm Liouville form. The Lagrangian and Hamiltonian functions are calculated for all particular cases of the Sturm Liouville form. Finally, we have shown that zeros of the oscillator equations constructed from the particular cases can be transformed into pole singularities of the Riccati equations.

Oscillatory Models in General Relativity

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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

Understanding Acoustics

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Publisher : Springer
ISBN 13 : 3319499785
Total Pages : 913 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Understanding Acoustics by : Steven L. Garrett

Download or read book Understanding Acoustics written by Steven L. Garrett and published by Springer. This book was released on 2017-02-24 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.

General Theory of Relativity

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Publisher : Pearson Education India
ISBN 13 : 9332516340
Total Pages : 369 pages
Book Rating : 4.3/5 (325 download)

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Book Synopsis General Theory of Relativity by : S. P. Puri

Download or read book General Theory of Relativity written by S. P. Puri and published by Pearson Education India. This book was released on 2013 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Theory of Relativity is the generalization of special relativity to include gravitation. It emphasizes that the law of Physics must be same for all observers and thereby extended it to non-inertial frames. This text is intended as a textbook for the students of Physics at the undergraduate and postgraduate level. It gives equal importance to the mathematical and physical aspects of general theory of relativity and hence strengthening the foregrounds.

The Oxford Handbook of Philosophy of Physics

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Publisher : Oxford University Press
ISBN 13 : 0195392043
Total Pages : 701 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis The Oxford Handbook of Philosophy of Physics by : Robert Batterman

Download or read book The Oxford Handbook of Philosophy of Physics written by Robert Batterman and published by Oxford University Press. This book was released on 2013-03-14 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Oxford Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past. In the late 20th Century, the philosophy of physics was largely focused on orthodox Quantum Mechanics and Relativity Theory. The measurement problem, the question of the possibility of hidden variables, and the nature of quantum locality dominated the literature on the quantum mechanics, whereas questions about relationalism vs. substantivalism, and issues about underdetermination of theories dominated the literature on spacetime. These issues still receive considerable attention from philosophers, but many have shifted their attentions to other questions related to quantum mechanics and to spacetime theories. Quantum field theory has become a major focus, particularly from the point of view of algebraic foundations. Concurrent with these trends, there has been a focus on understanding gauge invariance and symmetries. The philosophy of physics has evolved even further in recent years with attention being paid to theories that, for the most part, were largely ignored in the past. For example, the relationship between thermodynamics and statistical mechanics—-once thought to be a paradigm instance of unproblematic theory reduction—-is now a hotly debated topic. The implicit, and sometimes explicit, reductionist methodology of both philosophers and physicists has been severely criticized and attention has now turned to the explanatory and descriptive roles of "non-fundamental,'' phenomenological theories. This shift of attention includes "old'' theories such as classical mechanics, once deemed to be of little philosophical interest. Furthermore, some philosophers have become more interested in "less fundamental'' contemporary physics such as condensed matter theory. Questions abound with implications for the nature of models, idealizations, and explanation in physics. This Handbook showcases all these aspects of this complex and dynamic discipline.

Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes)

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Author :
Publisher : World Scientific
ISBN 13 : 9811269785
Total Pages : 4880 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) by : Remo Ruffini

Download or read book Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) written by Remo Ruffini and published by World Scientific. This book was released on 2022-12-15 with total page 4880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of MG16 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 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the following topics: accretion, active galactic nuclei, alternative theories of gravity, black holes (theory, observations and experiments), binaries, boson stars, cosmic microwave background, cosmic strings, dark energy and large scale structure, dark matter, education, exact solutions, early universe, fundamental interactions and stellar evolution, fast transients, gravitational waves, high energy physics, history of relativity, neutron stars, precision tests, quantum gravity, strong fields, and white dwarf; all of them represented by a large number of contributions.The online e-proceedings are published in an open access format.

Literature 1987, Part 2

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Publisher : Springer Science & Business Media
ISBN 13 : 3662123614
Total Pages : 1110 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Literature 1987, Part 2 by : U. Esser

Download or read book Literature 1987, Part 2 written by U. Esser and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Astronomy and Astrophysics Abstracts aims to present a comprehensive documen tation of the literature concerning all aspects of astronomy, astrophysies, and their border fields. It is devoted to the recording, summarizing, and indexing of the relevant publications throughout the world. Astronomy and Astrophysics Abstracts is prepared by a special department of the Astronomisches Rechen-Institut under the auspices of the International Astronomical Union. Volume 44 records literature published in 1987 and received before February 15, 1988. Some older documents which we received late and which are not surveyed in earlier volumes are inc1uded too. We acknowledge with thanks contributions of our colleagues all over the world. We also express our gratitude to all organiza tions, observatories, and publishers which provide us with complimentary copies of their publications. Dr. Siegfried Böhme retired from his duties as co-editor of Astronomy and Astro physics Abstracts on December 31, 1987. Since 1950 he partieipated in the biblio graphie work of the institute. He served as a reviewer for the Astronomischer Jahresbericht and became one of the editors of Astronomy and Astrophysics Ab stracts in 1969. After his retirement in 1975 he took care of, particularly, the Russian literature on a voluntary basis for 12 years. It is a pleasure to thank Siegfried Böhme for his valuable contributions. Starting with Volume 33, all the recording, correction, and data processing work was done by means of computers. The recording was done by our technical staff members Ms. Helga Ballmann, Ms. Christiane Jehn, Ms. Monika Kohl, Ms.

Rotating Relativistic Stars

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Publisher : Cambridge University Press
ISBN 13 : 1107310601
Total Pages : 435 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Rotating Relativistic Stars by : John L. Friedman

Download or read book Rotating Relativistic Stars written by John L. Friedman and published by Cambridge University Press. This book was released on 2013-02-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results and applications is accessible to readers who do not need the detailed derivations.

Revista di scienza, organo internazionale di sintesi scientifica

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Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Revista di scienza, organo internazionale di sintesi scientifica by :

Download or read book Revista di scienza, organo internazionale di sintesi scientifica written by and published by . This book was released on 1971 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for 1909- include "Supplément; traductions françaises des articles dont le texte original n'est pas en langue française" (varies slightly).

Vibration and Damping In Distributed Systems

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Publisher : CRC Press
ISBN 13 : 9780849371530
Total Pages : 464 pages
Book Rating : 4.3/5 (715 download)

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Book Synopsis Vibration and Damping In Distributed Systems by : Goong Chen

Download or read book Vibration and Damping In Distributed Systems written by Goong Chen and published by CRC Press. This book was released on 1999-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibration and Damping in Distributed Systems, Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. The book presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. It presents the theory and methods of functional analysis, energy identities, and strongly continuous and holomorphic semigroups. Many mechanical designs are illustrated to provide concrete examples of damping devices. Numerical examples are also included to confirm the strong agreements between the theoretical estimates and numerical computations of damping rates of eigenmodes.

Selected Papers, Volume 7

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Publisher : University of Chicago Press
ISBN 13 : 9780226101033
Total Pages : 308 pages
Book Rating : 4.1/5 (1 download)

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Book Synopsis Selected Papers, Volume 7 by : Subrahmanyan Chandrasekhar

Download or read book Selected Papers, Volume 7 written by Subrahmanyan Chandrasekhar and published by University of Chicago Press. This book was released on 1997-06-09 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these selections readers are treated to a rare opportunity to see the world through the eyes of one of the twentieth century's most brilliant and sensitive scientists. Conceived by Chandrasekhar as a supplement to his Selected Papers, this volume begins with eight papers he wrote with Valeria Ferrari on the non-radial oscillations of stars. It then explores some of the themes addressed in Truth and Beauty, with meditations on the aesthetics of science and the world it examines. Highlights include: "The Series Paintings of Claude Monet and the Landscape of General Relativity," "The Perception of Beauty and the Pursuit of Science," "On Reading Newton's Principia at Age Past Eighty," and personal recollections of Indira Gandhi, Jawaharlal Nehru, and others. Selected Papers, Volume 7 paints a picture of Chandra's universe, filled with stars and galaxies, but with space for poetics, paintings, and politics. The late S. Chandrasekhar was best known for his discovery of the upper limit to the mass of a white dwarf star, for which he received the Nobel Prize in Physics in 1983. He was the author of many books, including The Mathematical Theory of Black Holes and, most recently, Newton's Principia for the Common Reader.

A Study of Damping in Nonlinear Oscillations

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Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis A Study of Damping in Nonlinear Oscillations by : Maurice L. Rasmussen

Download or read book A Study of Damping in Nonlinear Oscillations written by Maurice L. Rasmussen and published by . This book was released on 1966 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quest For Perspectives: Selected Works Of S Chandrasekhar, A (With Commentary) (In 2 Vols)

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Publisher : World Scientific
ISBN 13 : 1783261846
Total Pages : 1449 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Quest For Perspectives: Selected Works Of S Chandrasekhar, A (With Commentary) (In 2 Vols) by : Kameshwar C Wali

Download or read book Quest For Perspectives: Selected Works Of S Chandrasekhar, A (With Commentary) (In 2 Vols) written by Kameshwar C Wali and published by World Scientific. This book was released on 2001-09-07 with total page 1449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book presents selected papers of S Chandrasekhar, co-winner of the Nobel Prize for Physics in 1983 and a scientific giant well known for his prolific and monumental contributions to astrophysics, physics and applied mathematics. The reader will find here most of Chandrasekhar's articles that led to major developments in various areas of physics and astrophysics. There are also articles of a popular and historical nature, as well as some hitherto unpublished material based on Chandrasekhar's talks at conferences. Each section of the book contains annotations by the editor.

INIS Atomindex

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Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis INIS Atomindex by :

Download or read book INIS Atomindex written by and published by . This book was released on 1996 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1070 pages
Book Rating : 4.3/5 (91 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 1975 with total page 1070 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Literature 1973, Part 1

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Publisher : Springer Science & Business Media
ISBN 13 : 3662122871
Total Pages : 618 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Literature 1973, Part 1 by : Siegfried Böhme

Download or read book Literature 1973, Part 1 written by Siegfried Böhme and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Astronomy and Astrophysics Abstracts, which has appeared in semi-annual volumes since 1969, is de voted to the recording, summarizing and indexing of astronomical publications throughout the world. It is prepared under the auspices of the International Astronomical Union (according to a resolution adopted at the 14th General Assembly in 1970). Astronomy and Astrophysics Abstracts aims to present a comprehensive documentation of literature in all fields of astronomy and astrophysics. Every effort will be made to ensure that the average time interval between the date of receipt of the original literature and publication of the abstracts will not exceed eight months. This time interval is near to that achieved by monthly abstracting journals, com pared to which our system of accumulating abstracts for about six months offers the advantage of greater convenience for the user. Volume 9 contains literature published in 1973 and received before August 15, 1973; some older liter ature which was received late and which is not recorded in earlier volumes is also included. We acknowledge with thanks contributions to this volume by Dr. J. Bouska, who surveyed journals and publications in the Czech language and supplied us with abstracts in English, and by the Common wealth Scientific and Industrial Research Organization (C.S.I.R.O.), Sydney, for providing titles and abstracts of papers on radio astronomy.