Overview
- 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)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (17 chapters)
-
Front Matter
-
Back Matter
Keywords
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.
Authors and Affiliations
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/10.1007/978-3-031-16139-1
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: 978-3-031-16138-4Published: 22 April 2023
Softcover ISBN: 978-3-031-16141-4Published: 09 May 2024
eBook ISBN: 978-3-031-16139-1Published: 21 April 2023
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
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