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This is an introductory textbook on applications of general relativity to astrophysics and cosmology. The aim is to provide graduate students with a toolkit for understanding astronomical phenomena that involve velocities close to that of light or intense gravitational fields. The approach taken is first to give the reader a thorough grounding in special relativity, with space-time the central concept, following which general relativity presents few conceptual difficulties. Examples of relativistic gravitation in action are drawn from the astrophysical domain. The book can be read on two levels: first as an introductory fast-track course, and then as a detailed course reinforced by problems which illuminate technical examples. The book has extensive links to the literature of relativistic astrophysics and cosmology.
Table of contents:
1. Newtonian gravitation; 2. Minkowski space-time; 3. Relativistic forms of physical laws; 4. Gravitation and special relativity; 5. Electromagnetism and relativistic hydrodynamics; 6. What is curved space?; 7. The principle of equivalence; 8. Einstein's relativistic gravitation; Appendices.
This foundation course in general relativity and gravitational physics provides an indispensable toolkit for use in theoretical astrophysics or cosmology. The emphasis is on understanding fundamentals.
A toolkit for exploring gravitational physics at work in the universe.
Table of contents:
1. Newtonian gravitation; 2. Minkowski space-time; 3. Relativistic forms of physical laws; 4. Gravitation and special relativity; 5. Electromagnetism and relativistic hydrodynamics; 6. What is curved space?; 7. The principle of equivalence; 8. Einstein's relativistic gravitation; Appendices.
This foundation course in general relativity and gravitational physics provides an indispensable toolkit for use in theoretical astrophysics or cosmology. The emphasis is on understanding fundamentals.
A toolkit for exploring gravitational physics at work in the universe.