9789810230791

Cosmological Special Relativity: The Large Scale Structure of Space, Time and Velocity

by
  • ISBN13:

    9789810230791

  • ISBN10:

    9810230796

  • Format: Hardcover
  • Copyright: 1997-11-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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Summary

Deals with special relativity theory and its application to cosmology. Presents Einstein's theory of space and time in detail, and describes the large scale structure of space, time, and velocity as a new cosmological special relativity. DLC: Cosmology.

Table of Contents

Preface vii
1 Introduction
1(6)
1.1 Historical background
1(1)
1.2 Cosmology and
2(3)
1.3 References
5(2)
2 Cosmological Special Relativity
7(22)
2.1 Introduction
8(1)
2.2 Fundamentals of special
8(1)
2.3 Present-day cosmology
9(1)
2.4 Postulates
10(1)
2.5 Cosmic frames
10(1)
2.6 Spacevelocity in cosmology
11(1)
2.7 Pre-special-relativity
11(1)
2.8 Relative cosmic time
12(1)
2.9 Inadequacy of
13(1)
2.10 Universe expansion versus
14(2)
2.11 The cosmological
16(2)
2.12 Interpretation of the
18(1)
2.13 Another derivation of the
18(1)
2.14 The galaxy cone
19(2)
2.15 Consequences of the
21(6)
2.15.1 Classical limit
21(1)
2.15.2 Length contraction
21(1)
2.15.3 Velocity contraction
22(1)
2.15.4 Law of addition of cosmic times
23(2)
2.15.5 Inflation of the Universe
25(1)
2.15.6 Minimal acceleration in nature
26(1)
2.15.7 Cosmological redshift
26(1)
2.16 Concluding remarks
27(1)
2.17 References
27(2)
3 Extension of the Lorentz Group to Cosmology
29(8)
3.1 Preliminaries
29(2)
3.2 The line element
31(1)
3.3 The transformations explicitly
32(1)
3.4 The generalized transformation
33(1)
3.5 Concluding remarks
34(1)
3.6 References
35(2)
4 Fundamentals of Einstein's Special Relativity
37(32)
4.1 Postulates of special relativity
38(2)
4.1.1 The principle of relativity
38(1)
4.1.2 Coordinates
39(1)
4.1.3 Inertial coordinate system
39(1)
4.1.4 Simultaneity
40(1)
4.2 The Galilean transformation
40(2)
4.2.1 The Galilean group
41(1)
4.3 The Lorentz transformation
42(18)
4.3.1 Measuring rods and clocks
42(1)
4.3.2 Spatial coordinates and time
42(1)
4.3.3 Einstein's paradox
43(1)
4.3.4 Apparent incompatibility of the
43(1)
4.3.5 Remark on action-at-a-distance
44(1)
4.3.6 Derivation of the Lorentz
44(8)
4.3.7 The Lorentz group
52(3)
4.3.8 Problems
55(5)
4.4 Consequences of the Lorentz
60(7)
4.4.1 Nonrelativistic limit
60(1)
4.4.2 The Lorentz contraction of lengths
60(1)
4.4.3 The dilation of time
61(1)
4.4.4 The addition of velocities law
62(2)
4.4.5 Problems
64(3)
4.5 References
67(2)
5 Structure of Spacetime
69(14)
5.1 Special relativity as a
69(1)
5.2 Four dimensions in
70(1)
5.3 The Minkowskian spacetime
71(3)
5.4 Proper time
74(4)
5.5 Velocity and
78(2)
5.6 Problems
80(1)
5.7 References
81(2)
6 The Light Cone
83(6)
6.1 The light cone
83(2)
6.2 Events and
85(1)
6.3 Problems
86(1)
6.4 Future and past
86(1)
6.5 References
87(2)
7 Mass, Energy and Momentum
89(12)
7.1 Preliminaries
90(1)
7.2 Mass, energy and momentum
90(4)
7.3 Angular-momentum
94(3)
7.4 Energy-momentum
97(1)
7.5 Problems
98(2)
7.6 References
100(1)
Index 101

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