Geometry of Spacetime

A Mathematical Introduction to Relativity Theory

AvRainer Oloff

Inbunden, Engelska, 2023

Del i serien Graduate Texts in Physics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2023-04-22
Mått:155 x 235 x 22 mm
Vikt:612 g
Format:Inbunden
Språk:Engelska
Serie:Graduate Texts in Physics
Antal sidor:274
Förlag:Springer International Publishing AG
ISBN:9783031161384
Originaltitel:Geometrie der Raumzeit

Utforska kategorier

Astronomi inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

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.