The Geometry of Spacetime
A Mathematical Introduction to Relativity Theory
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Beschreibung
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.
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.
Suitable for students of both physics and mathematics Combines mathematical principles with physical phenomena Offers a systematic presentation of the mathematics of general relativity
Autor*in
Rainer Oloff
Themen in »The Geometry of Spacetime«
Cosmology and Spacetime Mathematical Physics Physics of Black Holes Special Relativity Tangent Vector Textbook on General Relativity Mathematics of GR Differential Geometry