Cosmological special relativity the large scale structure of space, time and velocity

Summary

Titles

• Full Title: Cosmological special relativity : the large scale structure of space, time and velocity/ Moshe Carmeli

Edition Statement

• 2nd ed

Notes

• Includes bibliographical references and index

Identifiers

• Isbns: 9810249365; 9789810249366; 9789812777553; 9812777555
• Oclc Number: (OCoLC)1005231748

Publication Statement

• Place: Singapore; River Edge, N.J
• Publisher: World Scientific Pub. Co
• Date: 2002

Physical Description

• Extent: 1 Online-Ressource (xvi, 207 Seiten)
• Illustrations: Illustrationen

Summary

• 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 -- 2.16. 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 -- 4.2. The Galilean transformation -- 4.3. The Lorentz transformation -- 4.4. Consequences of the Lorentz transformation -- 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.l. 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.2. Universe with gravitation -- B.3. The accelerating Universe -- B.4. The Tully-Fisher formula: Halo dark matter -- B.5. The cosmological constant -- B.6. Cosmological redshift analysis -- B.7. Concluding remarks -- B.8. Mathematical conventions and Christoffel symbols -- B.9. Components of the Ricci tensor -- B.I0. 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
• This book 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. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians

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