Elements of General Relativity

Piotr T. Chrusciel

doi:10.1007/978-3-030-28416-9

Elements of General Relativity

Piotr T. Chrusciel

Gravitational Physics

Publications: Book › Peer Reviewed

Abstract

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.

Original language	English
Place of Publication	Cham
Publisher	Birkhäuser
Number of pages	284
ISBN (Electronic)	978-3-030-28416-9
ISBN (Print)	978-3-030-28415-2
DOIs	https://doi.org/10.1007/978-3-030-28416-9
Publication status	Published - 4 Mar 2020

Publication series

Series	Compact Textbooks in Mathematics
ISSN	2296-4568

Austrian Fields of Science 2012

101006 Differential geometry

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10.1007/978-3-030-28416-9

Cite this

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Elements of General Relativity

Abstract

Publication series

Austrian Fields of Science 2012

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