Homogeneous Relativistic Cosmologies

Michael P. Ryan; Lawrence C. Shepley

Published by Princeton University Press 1975

Homogeneous Relativistic Cosmologies

Michael P. Ryan and Lawrence C. Shepley

Volume 59 in the series Princeton Series in Physics

In the series Princeton Legacy Library

https://doi.org/10.1515/9781400868568

Overview
Contents

About this book

Addressing a variety of theoretical cosmological problems, and emphasizing a mathematical approach, this volume nicely complements Peebles' Physical Cosmology (Princeton Series in Physics, 1971).

Ryan and Shepley have concentrated on the structure of models of the universe. By using a modern terminology that emphasizes the operator nature of vectors and tensors, as opposed to their components in a particular coordinate system, the authors develop modern tensor analysis to the point where it can be applied to general relativistic cosmology. They then use it to describe homogeneous cosmologies in considerable detail. Both students and researchers are likely to find these techniques especially useful.

Among their subjects are: spaces with groups of motions; singularities; Taub-NUT-Misner space; Bianchitype models; Hamiltonian cosmology; and perturbations in anisotropic models. A brief section on observations is also included, as is a complete bibliography. A final section presents graded exercises that underscore the potential yet unrealized in this area of study.

Originally published in 1975.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	vii
Table of Contents Publicly Available Download PDF	ix
1. Cosmology: The Study of Universes Requires Authentication Unlicensed Licensed Download PDF	1
2. Geometry In the Language of Forms Requires Authentication Unlicensed Licensed Download PDF	11
3. Spacetime and Fluid Flow Requires Authentication Unlicensed Licensed Download PDF	40
4. Friedmann-Robertson-Walker Models: Begin with a Bang Requires Authentication Unlicensed Licensed Download PDF	57
5. Singularities in a Spacetime Requires Authentication Unlicensed Licensed Download PDF	74
6. Isometries of Space and Spacetime Requires Authentication Unlicensed Licensed Download PDF	96
7. Universes Homogeneous in Space and Time Requires Authentication Unlicensed Licensed Download PDF	118
8. T-Nut-M Space - Open to Closed to Open Requires Authentication Unlicensed Licensed Download PDF	132
9. The General Spatially Homogeneous Model in the Synchronous System Requires Authentication Unlicensed Licensed Download PDF	147
10. Singularities in Spatially Homogeneous Models Requires Authentication Unlicensed Licensed Download PDF	163
11. Hamiltonian Cosmology Requires Authentication Unlicensed Licensed Download PDF	182
12. Type I Models and Type IX Models - The Simplest and the Most Interesting Requires Authentication Unlicensed Licensed Download PDF	201
13. Numerical Techniques Requires Authentication Unlicensed Licensed Download PDF	221
14. Astrophysical Studies in Anisotropic Type I Models Requires Authentication Unlicensed Licensed Download PDF	237
15. Final Remarks: What Is, What Is Not, and What Should Be Requires Authentication Unlicensed Licensed Download PDF	260
Exercises and Problems Requires Authentication Unlicensed Licensed Download PDF	273
Bibliography Requires Authentication Unlicensed Licensed Download PDF	288
Index Requires Authentication Unlicensed Licensed Download PDF	316