The geometry of spacetime : a mathematical introduction to relativity theory / Rainer Oloff.
Oloff, Rainer, author.
2023
QC173.6 .O4613 2023
Available Online

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Title The geometry of spacetime : a mathematical introduction to relativity theory / Rainer Oloff.
Author Oloff, Rainer, author.
Uniform Title Geometrie der Raumzeit. English
ISBN 9783031161391 electronic book
3031161394 electronic book
9783031161384
3031161386
DOI https://doi.org/10.1007/978-3-031-16139-1
Published Cham, Switzerland : Springer, [2023]
Language English
Description 1 online resource (xix, 274 pages) : illustrations.
Item Number 10.1007/978-3-031-16139-1 doi
Call Number QC173.6 .O4613 2023
Dewey Decimal Classification 530.1101/51
Summary 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.
Note Translated from the German.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from digital title page (viewed on May 25, 2023).
Series Graduate texts in physics.
Available in Other Form Geometry of spacetime.
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Record Appears in Online Resources > Ebooks
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Differentiable manifolds
Tangent vectors
Tensors
Semi-Riemann manifolds
Special relativity
Differential forms
Covariant derivation of vector fields
Curvature
Matter
Geodesy
Covariant differentiation of tensor fields
Lie derivation
Integration on manifolds
Non-rotating black holes
Cosmology
Rotating black holes
An overview of string theory.

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