Differential Forms and the Geometry of General Relativity: 1st Edition (e-Book) book cover

Differential Forms and the Geometry of General Relativity

1st Edition

By Tevian Dray

A K Peters/CRC Press

321 pages

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Hardback: 9781466510005
pub: 2014-10-20
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Description

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.The book contains two intertwined but distinct halves. Designed f

Table of Contents

Spacetime Geometry: Spacetime. Symmetries. Schwarzschild Geometry. Rindler Geometry. Black Holes. General Relativity: Warmup. Geodesic Deviation. Einstein's Equation. Cosmological Models. Solar System Applications. Differential Forms: Calculus Revisited. Vector Calculus Revisited. The Algebra of Differential Forms. Hodge Duality. Differentiation of Differential Forms, Integration of Differential Forms. Connections. Curvature. Geodesics. Applications. Appendices. Annotated Bibliography. References.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT004000
MATHEMATICS / Arithmetic
MAT012000
MATHEMATICS / Geometry / General
SCI040000
SCIENCE / Mathematical Physics