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Full Description
This book deals with special relativity theory and its application to cosmology. It 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 book will be of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.
Contents
Cosmological special relativity: fundamentals of special relativity; present-day cosmology; postulates; cosmic frames; space velocity in cosmology; pre-special-relativty; relative cosmic time; inadequacy of classical transformation; universe expansion versus light; derivation of the transformation; interpretation of the transformation; another derivation; consequencs of the transformation. Extension of the Lorentz Group to cosmology: the line element; the transformations explicity; the most general transformation. Fundamentals of special relativity: postulates of special relativity; the Galilean transformation; the Lorentz transformation; consequences of the Lorentz transformation; four-dimensional structure of spacetime; the light cone; mass, energy and momentum.
