The Geometry of Spacetime

A Mathematical Introduction to Relativity Theory

Rainer Oloff

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English

Springer International Publishing AG
09 May 2024

History of science; Relativity physics; Mathematical physics

Series: Graduate Texts in Physics

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.

By: Rainer Oloff
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2023 ed.
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031161414
ISBN 10: 3031161416
Series: Graduate Texts in Physics
Pages: 274
Publication Date: 09 May 2024
Audience: College/higher education , A / AS level
Format: Paperback
Publisher's Status: Active

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.