Compact Textbooks in Mathematics

Elements of General Relativity

Authors: Chruściel, Piotr T.

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  • 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
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eBook $39.99
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  • ISBN 978-3-030-28416-9
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Softcover $49.99
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  • ISBN 978-3-030-28415-2
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  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Piotr T. Chruściel is Professor of Gravitational Physics at the Faculty of Physics of the University of Vienna, where he heads the gravitational physics group. His previous academic postings include the University of Oxford, where he was a lecturer with title of Professor at the Mathematical Institute and a Fellow of Hertford College. He is a Life Member of Clare Hall, Cambridge. He is a specialist in all aspects of mathematical general relativity.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-030-28416-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-28415-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Elements of General Relativity
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-28416-9
DOI
10.1007/978-3-030-28416-9
Softcover ISBN
978-3-030-28415-2
Series ISSN
2296-4568
Edition Number
1
Number of Pages
IX, 283
Number of Illustrations
7 b/w illustrations, 46 illustrations in colour
Topics