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Elements of general relativity / Piotr T. Chruściel.

9783030284169 (electronic book)
3030284166 (electronic book)
9783030284152

Cham : Birkhäuser, 2019.

English

1 online resource (285 pages)

QC173.6

530.11

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.

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Compact textbooks in mathematics.

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