An edition of Cosmological special relativity
(1997)
Cosmological special relativity
the large scale structure of space, time and velocity
2nd ed.
by Moshe Carmeli
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"Readership: Astrophysicists, cosmologists, theoretical physicists and mathematical physicists."--BOOK JACKET.
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Cosmological special relativity: the large scale structure of space, time and velocity
2002, World Scientific
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- 2nd ed.
9810249365 9789810249366
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Cosmological special relativity: the large scale structure of space, time and velocity
1997, World Scientific
in English
9810230796 9789810230791
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Book Details
Table of Contents
Machine generated contents note: 1 Introduction
1.1 Historical background
1.2 Cosmology and special relativity
1.3 References
2 Cosmological Special Relativity
2.1 Introduction
2.2 Fundamentals of special relativity
2.3 Present-day cosmology
2.4 Postulates
2.5 Cosmic frames
2.6 Spacevelocity in cosmology
2.7 Pre-special-relativity
2.8 Relative cosmic time
2.9 Inadequacy of the classical transformation
2.10 Universe expansion versus light propagation
2.11 The cosmological transformation
2.12 Interpretation of the cosmological transformation
2.13 Another derivation of the
cosmological transformation
2.14 The galaxy cone
2.15 Consequences of the cosmological transformation
2.15.1 Classical limit
2.15.2 Length contraction
2.15.3 Velocity contraction
2.15.4 Law of addition of cosmic times
2.15.5 Inflation of the Universe
2.15.6 Minimal acceleration in nature
2.15.7 Cosmological redshift
2.16 Concluding remarks
2.17 References
3 Extension of the Lorentz Group to Cosmology
3.1 Preliminaries
3.2 The line element
3.3 The transformations explicitly
3.4 The generalized transformation
3.5 Concluding remarks
3.6 References
4 Fundamentals of Einstein's Special Relativity
4.1 Postulates of special relativity
4.1.1 The principle of relativity. Constancy of
the speed of light
4.1.2 Coordinates
4.1.3 Inertial coordinate system
4.1.4 Simultaneity
4.2 The Galilean transformation
4.2.1 The Galilean group
4.3 The Lorentz transformation
4.3.1 Measuring rods and clocks
4.3.2 Spatial coordinates and time
4.3.3 Einstein's paradox
4.3.4 Apparent incompatibility of the special rel-
ativity postulates
4.3.5 Remark on action-at-a-distance
4.3.6 Derivation of the Lorentz
transformation
4.3.7 The Lorentz group
4.3.8 Problems
4.4 Consequences of the Lorentz transformation
4.4.1 Nonrelativistic limit
4.4.2 The Lorentz contraction of lengths
4.4.3 The dilation of time
4.4.4 The addition of velocities law
4.4.5 Problems
4.5 References
5 Structure of Spacetime
5.1 Special relativity as a
valuable guide
5.2 Four dimensions in
classical mechanics
5.3 The Minkowskian spacetime
5.4 Proper time
5.5 Velocity and acceleration four-vectors
5.6 Problems
5.7 References
6 The Light Cone
6.1 The light cone
6.2 Events and coordinate systems
6.3 Problems
6.4 Future and past
6.5 References
7 Mass, Energy and Momentum
7.1 Preliminaries
7.2 Mass, energy and momentum
7.3 Angular-momentum representation
7.4 Energy-momentum four-vector
7.5 Problems
7.6 References
8 Velocity, Acceleration and Cosmic Distances
8.1 Preliminaries
8.2 Velocity and acceleration four-vectors
8.3 Acceleration and distances
8.4 Energy in ESR versus cosmic
distance in CSR
8.5 Distance-velocity four-vector
8.6 Conclusions
8.7 References
9 First Days of the Universe
9.1 Preliminaries
9.2 Lengths of days
9.3 Comparison with Einstein's special relativity
9.4 References
A Cosmological General Relativity
A.1 Preliminaries
A.2 Cosmology in spacevelocity
A.3 Gravitational field equations
A.4 Solution of the field equations
A.5 Classification of universes
A.6 Physical meaning
A.7 The accelerating universe
A.8 Theory versus experiment
A.9 Concluding remarks
A.10 References
B Five-Dimensional Brane World Theory
B.1 Introduction
B.1.1 Cosmic coordinate systems: The
Hubble transformation
B.1.2 Lorentz-like cosmological
transformation
B.1.3 Five-dimensional manifold of space,
time and velocity
B.2 Universe with gravitation
B.2.1 The Bianchi identities
B.2.2 The gravitational field equations
B.2.3 Velocity as an independent coordinate
B.2.4 Effective mass density in cosmology
B.3 The accelerating Universe
B.3.1 Preliminaries
B.3.2 Expanding Universe
B.3.3 Decelerating, constant and
accelerating expansions
B.3.4 Accelerating Universe
B.4 The Tully-Fisher formula: Halo dark matter
B.4.1 The geodesic equation
B.4.2 Equations of motion
B.4.3 The Tully-Fisher law
B.5 The cosmological constant
B.5.1 The cosmological term
B.5.2 The supernovae experiments value for the
cosmological constant
B.5.3 The Behar-Carmeli predicted value for the
cosmological constant
B.5.4 Comparison with experiment
B.6 Cosmological redshift analysis
B.6.1 The redshift formula
B.6.2 Particular cases
B.6.3 Conclusions
B.7 Concluding remarks
B.8 Mathematical conventions and Christoffel symbols
B.9 Components of the Ricci tensor
B.10 Integration of the Universe expansion equation
B.11 References
C Cosmic Temperature Decline
C.1 Introduction.
C.2 Temperature formula without
gravity
C.3 Comparison
C.4 References.
Edition Notes
Includes bibliographical references and index.
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