General Relativity, Astrophysics, and Cosmology

The discovery of compact objects, such as quasars and pulsars, and of the microwave background radiation, as well as the recent insight that astrophysical observations can illuminate elementary particle physics have greatly enhanced the interest in general relativity, which forms the theoretical background for these investigations.

Texte du rabat
This book is intended for students interested in the applications of general relativity in astrophysics and cosmology but who would like to avoid mathematical complications. This volume thus combines relativity, astrophysics, and cosmology in a single volume. It provides an introduction to the subject that will enable students to consult more detailed treatises as well as the current literature. For prospective researchers in these fields, the book includes an appendix on differential forms, and an extensive, though not exhaustive list of references. The book is divided into three parts. The section on general relativity gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes, Penrose processes, and similar topics), and considers the energy-momentum tensor for various solutions. The section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects. The section on cosmology discusses various cosmological models, observational tests, and scenarios for the early universe.

Contenu
I. The General Theory of Relativity.- 1. Introduction.- 2. Tensor Calculus and Riemannian Geometry.- 3. Einstein's Field Equations.- 4. The Schwarzschild Metric and Crucial Tests.- 5. Electromagnetism in General Relativity.- 6. Axially Symmetric Fields.- 7. The Kerr Metric or the Rotating Black Hole.- 8. The EnergyMomentum Pseudotensor of the Gravitational Field and Loss of Energy by Gravitational Radiation.- 9. Analysis of the Observational Data of the HulseTaylor Pulsar. Confirmation of the Einstein Quadrupole Radiation Formula.- II. Relativistic Astrophysics.- 10. White Dwarf Stars.- 11. Stellar Evolution, Supernovae, and Compact Objects.- 12. Pulsars.- 13. Spherically Symmetric Star Models.- 14. Black Holes.- 15. Accretion onto Compact Objects.- III. Cosmology.- 16. The Standard Cosmological Model.- 17. The Singularity Problem.- 18. Thermal History of the UniverseCosmological Nucleosynthesis.- 19. Structure Formation in the Universe.- 20. Grand Unified Theory and Spontaneous Symmetry Breaking.- 21. The Inflationary Scenario.- 22. Concluding Remarks.- Appendix. Differential Forms.- A.1. Introductory Ideas and Definitions.- A.2. Connection 1-Forms and Ricci Rotation Coefficients.- A.3. Cartan's Equations of Structure.- A.4. Bianchi Identities and Symmetry Properties of the RiemannChristoffel Tensor.- A.5. An Example of the Calculation of the RiemannChristoffel Tensor.- References.