The Geometry of Spacetime

WSU: Space, Time, and Einstein with Brian Greene
WSU: Space, Time, and Einstein with Brian Greene

Authors:

  • 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)

  1. Front Matter
  2. 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/10.1007/978-3-031-16139-1

  • 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: 978-3-031-16141-4Due: 06 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

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