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| Author | : Vladimir Belinski |
| Publisher | : Cambridge University Press |
| Total Pages | : 280 |
| Release | : 2001-07-19 |
| Genre | : Science |
| ISBN | : 9780521805865 |
This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.
| Author | : V. Belinski |
| Publisher | : Cambridge University Press |
| Total Pages | : 280 |
| Release | : 2001-07-19 |
| Genre | : Science |
| ISBN | : 9781139428965 |
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.
| Author | : Vladimir Belinski |
| Publisher | : |
| Total Pages | : 258 |
| Release | : 2004 |
| Genre | : Gravitational waves |
| ISBN | : 9780511173967 |
This is the first book to give a self-contained exposition of the theory of gravitational solitons and provide a comprehensive review of exact soliton solutions to Einstein's equations. A valuable reference for researchers and graduate students.
| Author | : Victoriano Carmona |
| Publisher | : Springer |
| Total Pages | : 424 |
| Release | : 2018-09-15 |
| Genre | : Science |
| ISBN | : 3319667661 |
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.
| Author | : Maciej Dunajski |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 374 |
| Release | : 2010 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0198570627 |
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.
| Author | : Yvonne Choquet-Bruhat |
| Publisher | : Oxford University Press |
| Total Pages | : 300 |
| Release | : 2015 |
| Genre | : Mathematics |
| ISBN | : 0199666458 |
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.
| Author | : Professor of Mathematical Physics Maciej Dunajski |
| Publisher | : Oxford University Press |
| Total Pages | : 416 |
| Release | : 2024-07-15 |
| Genre | : Mathematics |
| ISBN | : 0198872534 |
The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations.
| Author | : V.G. Makhankov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 453 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400922175 |
'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.
| Author | : Allan P. Fordy |
| Publisher | : Manchester University Press |
| Total Pages | : 472 |
| Release | : 1990 |
| Genre | : Evolution equations, Nonlinear |
| ISBN | : 9780719014918 |
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.
| Author | : R.K. Bullough |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 403 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3642814484 |
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