Overview
- Concise modern introduction to the mathematical tools
- Precise mathematical treatment of all problems addressed
- Can be used for an introductory course on a mathematically-minded introduction to Einstein’s theory of gravitation
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Elements of General Relativity
Authors: Piotr T. Chruściel
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-030-28416-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-28415-2Published: 20 March 2020
eBook ISBN: 978-3-030-28416-9Published: 19 March 2020
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: IX, 283
Number of Illustrations: 7 b/w illustrations, 46 illustrations in colour
Topics: Differential Geometry, Classical and Quantum Gravitation, Relativity Theory