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Suitable for students of both physics and mathematics

Combines mathematical principles with physical phenomena

Offers a systematic presentation of the mathematics of general relativity
Part of the book series: Graduate Texts in Physics (GTP)

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Table of contents (17 chapters)

Front Matter 
Back Matter
About this book
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.
Keywords
 Cosmology and Spacetime
 Mathematical Physics
 Physics of Black Holes
 Special Relativity
 Tangent Vector
 Textbook on General Relativity
 Mathematics of GR
 Differential Geometry
Authors and Affiliations

Fakultät für Mathematik und Informatik, Universität Jena, Jena, Germany Rainer Oloff
About the author
Rainer Oloff received his doctorate, and later taught, at the Friedrich Schiller University of Jena, specializing in the field of analysis. He also had sojourns teaching at the Addis Ababa University and the University of Salzburg.
Bibliographic Information

Book Title: The Geometry of Spacetime

Book Subtitle: A Mathematical Introduction to Relativity Theory

Authors: Rainer Oloff

Series Title: Graduate Texts in Physics

DOI: https://doi.org/10.1007/9783031161391

Publisher: Springer Cham

eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

Hardcover ISBN: 9783031161384Published: 22 April 2023

Softcover ISBN: 9783031161414Due: 06 May 2024

eBook ISBN: 9783031161391Published: 21 April 2023

Series ISSN: 18684513

Series EISSN: 18684521

Edition Number: 1

Number of Pages: XIX, 274

Number of Illustrations: 49 b/w illustrations, 1 illustrations in colour

Topics: Classical and Quantum Gravitation, Relativity Theory, Mathematical Physics, Cosmology, History and Philosophical Foundations of Physics