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The geometry of spacetime : a mathematical introduction to relativity theory / Rainer Oloff.

Geometrie der Raumzeit. English

9783031161391 electronic book
3031161394 electronic book
9783031161384
3031161386

Cham, Switzerland : Springer, [2023]

English

1 online resource (xix, 274 pages) : illustrations.

10.1007/978-3-031-16139-1 doi

QC173.6 .O4613 2023

530.1101/51

This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.

Translated from the German.

Includes bibliographical references and index.

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Description based on online resource; title from digital title page (viewed on May 25, 2023).

Graduate texts in physics.

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