[PDF] 3 1 Formalism In General Relativity - eBooks Review

3 1 Formalism In General Relativity


3 1 Formalism In General Relativity
DOWNLOAD

Download 3 1 Formalism In General Relativity PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get 3 1 Formalism In General Relativity book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page



3 1 Formalism In General Relativity


3 1 Formalism In General Relativity
DOWNLOAD
Author : Éric Gourgoulhon
language : en
Publisher: Springer
Release Date : 2012-02-27

3 1 Formalism In General Relativity written by Éric Gourgoulhon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-27 with Science categories.


This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.



Introduction To 3 1 Numerical Relativity


Introduction To 3 1 Numerical Relativity
DOWNLOAD
Author : Miguel Alcubierre
language : en
Publisher: OUP Oxford
Release Date : 2008-04-10

Introduction To 3 1 Numerical Relativity written by Miguel Alcubierre and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-10 with Science categories.


This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.



Numerical Relativity


Numerical Relativity
DOWNLOAD
Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24

Numerical Relativity written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Science categories.


Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.



Elements Of General Relativity


Elements Of General Relativity
DOWNLOAD
Author : Piotr T. Chruściel
language : en
Publisher: Springer Nature
Release Date : 2020-03-19

Elements Of General Relativity written by Piotr T. Chruściel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Mathematics categories.


This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.



Advanced General Relativity


Advanced General Relativity
DOWNLOAD
Author : John Stewart
language : en
Publisher: Cambridge University Press
Release Date : 1993-11-26

Advanced General Relativity written by John Stewart and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-26 with Science categories.


A self-contained introduction to advanced general relativity.



Formulations Of General Relativity


Formulations Of General Relativity
DOWNLOAD
Author : Kirill Krasnov
language : en
Publisher: Cambridge University Press
Release Date : 2020-11-26

Formulations Of General Relativity written by Kirill Krasnov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Science categories.


Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.



General Relativity


General Relativity
DOWNLOAD
Author : Michael Paul Hobson
language : en
Publisher:
Release Date : 2005

General Relativity written by Michael Paul Hobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Einstein S General Theory Of Relativity


Einstein S General Theory Of Relativity
DOWNLOAD
Author : Brian P. Dolan
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-29

Einstein S General Theory Of Relativity written by Brian P. Dolan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-29 with Science categories.


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.



Advanced Lectures On General Relativity


Advanced Lectures On General Relativity
DOWNLOAD
Author : Geoffrey Compère
language : en
Publisher: Springer
Release Date : 2019-02-01

Advanced Lectures On General Relativity written by Geoffrey Compère and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Science categories.


These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.