Principles of cosmology and gravitation


Principles of cosmology and gravitation

Michael Berry

A. Hilger, 1989

大学図書館所蔵 件 / 19



Reprint. Originally published: Cambridge ; New York : Cambridge University Press, 1976

Bibliography: p. 176

Includes index



General relativity and quantum mechanics have become the two central pillars of theoretical physics. Moreover, general relativity has important applications in astrophysics and high-energy particle physics. Covering the fundamentals of the subject, Principles of Cosmology and Gravitation describes the universe as revealed by observations and presents a theoretical framework to enable important cosmological formulae to be derived and numerical calculations performed. Avoiding elaborate formal discussions, the book presents a practical approach that focuses on the general theory of relativity. It examines different evolutionary models and the gravitational effects of massive bodies. The book also includes a large number of worked examples and problems, half with solutions.


COSMOGRAPHY What the universe contains The cosmic distance hierarchy and the determination of galactic densities The red shift and the expansion of the universe PHYSICAL BASIS OF GENERAL RELATIVITY The need for relativistic ideas and a theory of gravitation DIFFICULTIES WITH NEWTONIAN MECHANICS Gravity and inertial frames and absolute space Inadequacy of special relativity. Mach's principle and gravitational waves Einstein's principle of equivalence CURVED SPACETIME AND THE PHYSICAL MATHEMATICS OF GENERAL RELATIVITY Particle paths and the separation between events. Geodesics. Curved spaces. Curvature and gravitation GENERAL RELATIVITY NEAR MASSIVE OBJECTS Spacetime near an isolated mass Around the world with clocks Precession of the perihelion of Mercury Deflection of light Radar echoes from planets Black holes COSMIC KINEMATICS Spacetime for the smoothed-out universe Red shifts and horizons Apparent luminosity Galactic densities and the darkness of the night sky Number counts COSMIC DYNAMICS Gravitation and the cosmic fluid Histories of model universes The steady state theory Cosmologies in which the strength of gravity varies IN THE BEGINNING Cosmic black-body radiation Condensation of galaxies Ylem APPENDIX A: Labeling astronomical objects APPENDIX B: Theorema egregium PROBLEMS SOLUTIONS TO ODD-NUMBERED PROBLEMS USEFUL NUMBERS BIBLIOGRAPHY INDEX

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