General Relativity and the Einstein Equations

Nonfiction, Science & Nature, Mathematics, Applied, Science
Cover of the book General Relativity and the Einstein Equations by Yvonne Choquet-Bruhat, OUP Oxford
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Author: Yvonne Choquet-Bruhat ISBN: 9780191578854
Publisher: OUP Oxford Publication: December 4, 2008
Imprint: OUP Oxford Language: English
Author: Yvonne Choquet-Bruhat
ISBN: 9780191578854
Publisher: OUP Oxford
Publication: December 4, 2008
Imprint: OUP Oxford
Language: English

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.

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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.

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