General Relativity And The Einstein Equations
Download General Relativity And The Einstein Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get General Relativity And The Einstein Equations 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.
Numerical Relativity
Author: Thomas W. Baumgarte
language: en
Publisher: Cambridge University Press
Release Date: 2010-06-24
Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.
General Relativity and the Einstein Equations
Author: Yvonne Choquet-Bruhat
language: en
Publisher: Oxford University Press
Release Date: 2009
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.
The Einstein Equations and the Large Scale Behavior of Gravitational Fields
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.