General Relativity And The Einstein Equations PDF Download
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| Author | : Hans Stephani |
| Publisher | : Cambridge University Press |
| Total Pages | : 732 |
| Release | : 2009-09-24 |
| Genre | : Science |
| ISBN | : 9780521467025 |
Download Exact Solutions of Einstein's Field Equations Book in PDF, ePub and Kindle
A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces.
| Author | : Thomas W. Baumgarte |
| Publisher | : Cambridge University Press |
| Total Pages | : 717 |
| Release | : 2010-06-24 |
| Genre | : Science |
| ISBN | : 1139643177 |
Download Numerical Relativity Book in PDF, ePub and Kindle
Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.
| Author | : Yvonne Choquet-Bruhat |
| Publisher | : Oxford University Press |
| Total Pages | : 812 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0199230722 |
Download General Relativity and the Einstein Equations Book in PDF, ePub and Kindle
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
| Author | : Piotr T. Chrusciel |
| Publisher | : Birkhäuser |
| Total Pages | : 487 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3034879539 |
Download The Einstein Equations and the Large Scale Behavior of Gravitational Fields Book in PDF, ePub and Kindle
The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.
| Author | : Jerry B. Griffiths |
| Publisher | : Cambridge University Press |
| Total Pages | : 544 |
| Release | : 2009-10-15 |
| Genre | : Science |
| ISBN | : 1139481169 |
Download Exact Space-Times in Einstein's General Relativity Book in PDF, ePub and Kindle
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
| Author | : Sergio Cacciatori |
| Publisher | : Springer Nature |
| Total Pages | : 359 |
| Release | : 2019-11-23 |
| Genre | : Science |
| ISBN | : 3030180611 |
Download Einstein Equations: Physical and Mathematical Aspects of General Relativity Book in PDF, ePub and Kindle
This book is based on lectures given at the first edition of the Domoschool, the International Alpine School in Mathematics and Physics, held in Domodossola, Italy, in July 2018. It is divided into two parts. Part I consists of four sets of lecture notes. These are extended versions of lectures given at the Domoschool, written by well-known experts in mathematics and physics related to General Relativity. Part II collects talks by selected participants, focusing on research related to General Relativity.
| Author | : Brian P. Dolan |
| Publisher | : Cambridge University Press |
| Total Pages | : 215 |
| Release | : 2023-06-30 |
| Genre | : Science |
| ISBN | : 1009263714 |
Download Einstein's General Theory of Relativity Book in PDF, ePub and Kindle
Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.
| Author | : Sergio Luigi Cacciatori |
| Publisher | : Springer Nature |
| Total Pages | : 261 |
| Release | : 2023-03-15 |
| Genre | : Mathematics |
| ISBN | : 3031218450 |
Download Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity Book in PDF, ePub and Kindle
This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are based on courses and lectures given at the July 2019 Domoschool, International Alpine School in Mathematics and Physics, held in Domodossola, Italy, which was titled “Einstein Equations: Physical and Mathematical Aspects of General Relativity”. Structured in two parts, the first features four courses from prominent experts on topics such as local energy in general relativity, geometry and analysis in black hole spacetimes, and antimatter gravity. The second part features a variety of papers based on talks given at the summer school, including topics like: Quantum ergosphere General relativistic Poynting-Robertson effect modelling Numerical relativity Length-contraction in curved spacetime Classicality from an inhomogeneous universe Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity will be a valuable resource for students and researchers in mathematics and physicists interested in exploring how their disciplines connect to general relativity.
| Author | : A.J. Kox |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 384 |
| Release | : 2006-09-10 |
| Genre | : Science |
| ISBN | : 0817644547 |
Download The Universe of General Relativity Book in PDF, ePub and Kindle
Outgrowth of 6th Int'l Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002 Contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science Topics run gamet from detailed mathematical discussions to more personal recollections of relativity as seen through the eyes of the public and renowned relativists
| Author | : Øyvind Grøn |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 540 |
| Release | : 2007-08-24 |
| Genre | : Science |
| ISBN | : 0387692002 |
Download Einstein's General Theory of Relativity Book in PDF, ePub and Kindle
This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.
