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Gravitational Solitons
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Book Synopsis Gravitational Solitons by : Vladimir Belinski
Download or read book Gravitational Solitons written by Vladimir Belinski and published by Cambridge University Press. This book was released on 2001-07-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.
Book Synopsis Gravitational Solitons by : V. Belinski
Download or read book Gravitational Solitons written by V. Belinski and published by Cambridge University Press. This book was released on 2001-07-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes. A valuable reference for researchers and graduate students in the fields of general relativity, string theory and cosmology, this book will also be of interest to mathematical physicists in general.
Book Synopsis Nonlinear Systems, Vol. 1 by : Victoriano Carmona
Download or read book Nonlinear Systems, Vol. 1 written by Victoriano Carmona and published by Springer. This book was released on 2018-09-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.
Book Synopsis Solitons, Instantons, and Twistors by : Maciej Dunajski
Download or read book Solitons, Instantons, and Twistors written by Maciej Dunajski and published by Oxford University Press, USA. This book was released on 2010 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Book Synopsis Introduction to General Relativity, Black Holes, and Cosmology by : Yvonne Choquet-Bruhat
Download or read book Introduction to General Relativity, Black Holes, and Cosmology written by Yvonne Choquet-Bruhat and published by Oxford University Press. This book was released on 2015 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.
Book Synopsis Soliton Phenomenology by : V.G. Makhankov
Download or read book Soliton Phenomenology written by V.G. Makhankov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait Sll comment en revemr, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book Soliton Theory written by Allan P. Fordy and published by Manchester University Press. This book was released on 1990 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.
Download or read book Solitons written by R.K. Bullough and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts
Book Synopsis Spectral Transform and Solitons by : F. Calogero
Download or read book Spectral Transform and Solitons written by F. Calogero and published by Elsevier. This book was released on 2011-08-18 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Transform and Solitons
Book Synopsis Selected Papers of Abdus Salam by : Abdus Salam
Download or read book Selected Papers of Abdus Salam written by Abdus Salam and published by World Scientific. This book was released on 1994 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a selection from over 250 papers published by Abdus Salam. Professor Salam has been Professor of Theoretical Physics at Imperial College, London and Director of the International Centre for Theoretical Physics in Trieste, for which he was largely responsible for creating. He is one of the most distinguished theoretical physicists of his generation and won the Nobel Prize for Physics in 1979 for his work on the unification of electromagnetic and weak interactions. He is well known for his deep interest in the development of scientific research in the third world (to which ICTP is devoted) and has taken a leading part in setting up the Third World Academy. His research work has ranged widely over quantum field theory and all aspects of the theory of elementary particles and more recently into other fields, including high-temperature superconductivity and theoretical biology. The papers selected represent a cross section of his work covering the entire period of 50 years from his student days to the present.
Book Synopsis Seventh Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation, And Relativistic Field Theories - Proceedings Of The 7th Marcel Grossmann Meeting (In 2 Parts) by : Ruffini Remo
Download or read book Seventh Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation, And Relativistic Field Theories - Proceedings Of The 7th Marcel Grossmann Meeting (In 2 Parts) written by Ruffini Remo and published by World Scientific. This book was released on 1997-03-19 with total page 2024 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1975, the triennial Marcel Grossmann Meetings have been organized in order to provide opportunities for discussing recent advances in gravitation, general relativity and relativisitic field theories, emphasizing mathematical foundations, physical predictions, and experimental tests.The proceedings of the Seventh Marcel Grossmann Meeting include the invited papers given at the plenary sessions, the summaries of the parallel sessions, the contributed papers presented at the parallel sessions, and the evening public lectures.The authors of these papers discuss many of the recent theoretical, observational, and experimental developments that have significant implications for the fields of physics, cosmology, and relativistic astrophysics.
Book Synopsis Interacting Gravitational, Electromagnetic, Neutrino And Other Waves: In The Context Of Einstein's General Theory Of Relativity by : Anzhong Wang
Download or read book Interacting Gravitational, Electromagnetic, Neutrino And Other Waves: In The Context Of Einstein's General Theory Of Relativity written by Anzhong Wang and published by World Scientific. This book was released on 2020-03-19 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.
Book Synopsis Colliding Plane Waves in General Relativity by : J.B. Griffiths
Download or read book Colliding Plane Waves in General Relativity written by J.B. Griffiths and published by Courier Dover Publications. This book was released on 2016-04-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph surveys recent research on the collision and interaction of gravitational and electromagnetic waves. "This is a particularly important topic in general relativity," the author notes, "since the theory predicts that there will be a nonlinear interaction between such waves." Geared toward graduate students and researchers in general relativity, the text offers a comprehensive and unified review of the vast literature on the subject. The first eight chapters offer background, presenting the field equations and discussing some qualitative aspects of their solution. Subsequent chapters explore further exact solutions for colliding plane gravitational waves and the collision and interaction of electromagnetic waves. The final chapters summarize all related results for the collision of plane waves of different types and in non-flat backgrounds. A new postscript updates developments since the book's initial 1991 publication.
Book Synopsis General Relativity and Gravitation by : Abhay Ashtekar
Download or read book General Relativity and Gravitation written by Abhay Ashtekar and published by Cambridge University Press. This book was released on 2015-06 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
Book Synopsis Soliton Theory and Its Applications by : Chaohao Gu
Download or read book Soliton Theory and Its Applications written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.
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.
Book Synopsis Mathematical Physics and Complex Analysis by : L. D. Faddeev
Download or read book Mathematical Physics and Complex Analysis written by L. D. Faddeev and published by American Mathematical Soc.. This book was released on 1988 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of survey papers on the 50th anniversary of the institute.
