Differential Geometry and Relativity Theory: An Introduction

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CRC Press, May 26, 1983 - Mathematics - 272 pages
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Contents

SURFACES AND THE CONCEPT OF CURVATURE
1
SPECIAL RELATIVITY THE GEOMETRY
95
The Lorentz Transformation
128
Spacetime Diagrams
137
Lorentz Geometry
145
The Twin Paradox
149
Temporal Order and Causality
159
GENERAL RELATIVITY THE GEOMETRY OF CURVED SPACETIME
165
Orbits in Newtons Theory
190
Geodesics
197
The Field Equations
200
The Schwarzschild Solution
211
Orbits in General Relativity
223
The Bending of Light
230
Vector Geometry and Analysis
235
Hyperbolic Functions
243

The Principle of Equivalence
166
Gravity as Spacetime Curvature
172
The Consequences of Einsteins Theory
182
The Universal Law of Gravitation
185

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