General Theory of Relativity

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Princeton University Press, 28 de jan. de 1996 - 69 páginas

Einstein's general theory of relativity requires a curved space for the description of the physical world. If one wishes to go beyond superficial discussions of the physical relations involved, one needs to set up precise equations for handling curved space. The well-established mathematical technique that accomplishes this is clearly described in this classic book by Nobel Laureate P.A.M. Dirac. Based on a series of lectures given by Dirac at Florida State University, and intended for the advanced undergraduate, General Theory of Relativity comprises thirty-five compact chapters that take the reader point-by-point through the necessary steps for understanding general relativity.

 

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Conteúdo

Special Relativity
1
Oblique Axes
3
Curvilinear Coordinates
5
Nontensors
8
Curved Space
9
Parallel Displacement
10
Christoffel Symbols
12
Geodesics
14
Tensor Densities
36
Gauss and Stokes Theorems
38
Harmonic Coordinates
40
The Electromagnetic Field
41
Modification of the Einstein Equations by the Presence of Matter
43
The Material Energy Tensor
45
The Gravitational Action Principle
48
The Action for a Continuous Distribution of Matter
50

The Stationary Property of Geodesics
16
Covariant Differentiation
17
The Curvature Tensor
20
The Condition for Flat Space
22
The Bianci Relations
23
The Ricci Tensor
24
Einsteins Law of Gravitation
25
The Newtonian Approximation
26
The Gravitational Red Shift
29
The Schwarzchild Solution
30
Black Holes
32
The Action for the Electromagnetic Field
54
The Action for Charged Matter
55
The Comprehensive Action Principle
58
The PseudoEnergy Tensor of the Gravitational Field
61
Explicit Expression for the PseudoTensor
63
Gravitational Waves
64
The Polarization of Gravitational Waves
66
The Cosmological Term
68
Index
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P.A.M. Dirac (1902-1984) was Lucasian Professor of Mathematics at the University of Cambridge and later taught at Florida State University.

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