Cosmological special relativity
Subtitle: the large scale structure of space, time and velocity
By: Moshe Carmeli.
Edition: 2nd ed.
Publisher: World Scientific
Published: 2002
Place of publication: River Edge, N.J
Language: eng
Number of pages: 207
Subjects: Cosmology.; Special relativity (Physics); Gravitational fields.; Space and time.
Description: "Readership: Astrophysicists, cosmologists, theoretical physicists and mathematical physicists."--BOOK JACKET.
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: 1 Introduction; title: 1.1 Historical background; title: 1.2 Cosmology and special relativity; title: 1.3 References; title: 2 Cosmological Special Relativity; title: 2.1 Introduction; title: 2.2 Fundamentals of special relativity; title: 2.3 Present-day cosmology; title: 2.4 Postulates; title: 2.5 Cosmic frames; title: 2.6 Spacevelocity in cosmology; title: 2.7 Pre-special-relativity; title: 2.8 Relative cosmic time; title: 2.9 Inadequacy of the classical transformation; title: 2.10 Universe expansion versus light propagation; title: 2.11 The cosmological transformation; title: 2.12 Interpretation of the cosmological transformation; title: 2.13 Another derivation of the; title: cosmological transformation; title: 2.14 The galaxy cone; title: 2.15 Consequences of the cosmological transformation; title: 2.15.1 Classical limit; title: 2.15.2 Length contraction; title: 2.15.3 Velocity contraction; title: 2.15.4 Law of addition of cosmic times; title: 2.15.5 Inflation of the Universe; title: 2.15.6 Minimal acceleration in nature; title: 2.15.7 Cosmological redshift; title: 2.16 Concluding remarks; title: 2.17 References; title: 3 Extension of the Lorentz Group to Cosmology; title: 3.1 Preliminaries; title: 3.2 The line element; title: 3.3 The transformations explicitly; title: 3.4 The generalized transformation; title: 3.5 Concluding remarks; title: 3.6 References; title: 4 Fundamentals of Einstein's Special Relativity; title: 4.1 Postulates of special relativity; title: 4.1.1 The principle of relativity. Constancy of; title: the speed of light; title: 4.1.2 Coordinates; title: 4.1.3 Inertial coordinate system; title: 4.1.4 Simultaneity; title: 4.2 The Galilean transformation; title: 4.2.1 The Galilean group; title: 4.3 The Lorentz transformation; title: 4.3.1 Measuring rods and clocks; title: 4.3.2 Spatial coordinates and time; title: 4.3.3 Einstein's paradox; title: 4.3.4 Apparent incompatibility of the special rel-; title: ativity postulates; title: 4.3.5 Remark on action-at-a-distance; title: 4.3.6 Derivation of the Lorentz; title: transformation; title: 4.3.7 The Lorentz group; title: 4.3.8 Problems; title: 4.4 Consequences of the Lorentz transformation; title: 4.4.1 Nonrelativistic limit; title: 4.4.2 The Lorentz contraction of lengths; title: 4.4.3 The dilation of time; title: 4.4.4 The addition of velocities law; title: 4.4.5 Problems; title: 4.5 References; title: 5 Structure of Spacetime; title: 5.1 Special relativity as a; title: valuable guide; title: 5.2 Four dimensions in; title: classical mechanics; title: 5.3 The Minkowskian spacetime; title: 5.4 Proper time; title: 5.5 Velocity and acceleration four-vectors; title: 5.6 Problems; title: 5.7 References; title: 6 The Light Cone; title: 6.1 The light cone; title: 6.2 Events and coordinate systems; title: 6.3 Problems; title: 6.4 Future and past; title: 6.5 References; title: 7 Mass, Energy and Momentum; title: 7.1 Preliminaries; title: 7.2 Mass, energy and momentum; title: 7.3 Angular-momentum representation; title: 7.4 Energy-momentum four-vector; title: 7.5 Problems; title: 7.6 References; title: 8 Velocity, Acceleration and Cosmic Distances; title: 8.1 Preliminaries; title: 8.2 Velocity and acceleration four-vectors; title: 8.3 Acceleration and distances; title: 8.4 Energy in ESR versus cosmic; title: distance in CSR; title: 8.5 Distance-velocity four-vector; title: 8.6 Conclusions; title: 8.7 References; title: 9 First Days of the Universe; title: 9.1 Preliminaries; title: 9.2 Lengths of days; title: 9.3 Comparison with Einstein's special relativity; title: 9.4 References; title: A Cosmological General Relativity; title: A.1 Preliminaries; title: A.2 Cosmology in spacevelocity; title: A.3 Gravitational field equations; title: A.4 Solution of the field equations; title: A.5 Classification of universes; title: A.6 Physical meaning; title: A.7 The accelerating universe; title: A.8 Theory versus experiment; title: A.9 Concluding remarks; title: A.10 References; title: B Five-Dimensional Brane World Theory; title: B.1 Introduction; title: B.1.1 Cosmic coordinate systems: The; title: Hubble transformation; title: B.1.2 Lorentz-like cosmological; title: transformation; title: B.1.3 Five-dimensional manifold of space,; title: time and velocity; title: B.2 Universe with gravitation; title: B.2.1 The Bianchi identities; title: B.2.2 The gravitational field equations; title: B.2.3 Velocity as an independent coordinate; title: B.2.4 Effective mass density in cosmology; title: B.3 The accelerating Universe; title: B.3.1 Preliminaries; title: B.3.2 Expanding Universe; title: B.3.3 Decelerating, constant and; title: accelerating expansions; title: B.3.4 Accelerating Universe; title: B.4 The Tully-Fisher formula: Halo dark matter; title: B.4.1 The geodesic equation; title: B.4.2 Equations of motion; title: B.4.3 The Tully-Fisher law; title: B.5 The cosmological constant; title: B.5.1 The cosmological term; title: B.5.2 The supernovae experiments value for the; title: cosmological constant; title: B.5.3 The Behar-Carmeli predicted value for the; title: cosmological constant; title: B.5.4 Comparison with experiment; title: B.6 Cosmological redshift analysis; title: B.6.1 The redshift formula; title: B.6.2 Particular cases; title: B.6.3 Conclusions; title: B.7 Concluding remarks; title: B.8 Mathematical conventions and Christoffel symbols; title: B.9 Components of the Ricci tensor; title: B.10 Integration of the Universe expansion equation; title: B.11 References; title: C Cosmic Temperature Decline; title: C.1 Introduction.; title: C.2 Temperature formula without; title: gravity; title: C.3 Comparison; title: C.4 References.