The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory: Graduate Texts in Physics
Autor Rainer Oloffen Limba Engleză Hardback – 22 apr 2023
The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
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Specificații
ISBN-13: 9783031161384
ISBN-10: 3031161386
Pagini: 274
Ilustrații: XIX, 274 p. 50 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.59 kg
Ediția:2023
Editura: Springer International Publishing
Colecția Springer
Seria Graduate Texts in Physics
Locul publicării:Cham, Switzerland
ISBN-10: 3031161386
Pagini: 274
Ilustrații: XIX, 274 p. 50 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.59 kg
Ediția:2023
Editura: Springer International Publishing
Colecția Springer
Seria Graduate Texts in Physics
Locul publicării:Cham, Switzerland
Cuprins
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.
Notă biografică
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.
Textul de pe ultima copertă
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.
The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
Caracteristici
Suitable for students of both physics and mathematics Combines mathematical principles with physical phenomena Offers a systematic presentation of the mathematics of general relativity