"Covering all aspects of gravitation in a contemporary style, this advanced textbook is ideal for graduate students and researchers in all areas of theoretical physics. The 'Foundation' section develops the formalism in six chapters, and uses it in the next four chapters to discuss four key applications - spherical spacetimes, black holes, gravitational waves and cosmology. The six chapters in the 'Frontier' section describe cosmological perturbation theory, quantum fields in curved spacetime, and the Hamiltonian structure of general relativity, among several other advanced topics, some of which are covered in-depth for the first time in a textbook. The modular structure of the book allows different sections to be combined to suit a variety of courses. Over 200 exercises are included to test and develop the reader's understanding. There are also over 30 projects, which help readers make the transition from the book to their own original research"--Provided by publisher.
"The modular structure of the book allows different sections to be combined to suit a variety of courses. Over 225 exercises are included to test and develop the readers' understanding. There are also over 30 projects, which help readers make the transition from the book to their own original research"--Provided by publisher.
1. Special relativity
2. Scalar and electromagnetic fields in special relativity
3. Gravity and spacetime geometry: the inescapable connection
4. Metric tensor, geodesics and covariant derivative
5. Curvature of spacetime
6. Einstein's field equations and gravitational dynamics
7. Spherically symmetric geometry
8. Black holes
9. Gravitational waves
10. Relativistic cosmology
11. Differential forms and exterior calculus
12. Hamiltonian structure of general relativity
13. Evolution of cosmological perturbations
14. Quantum field theory in curved spacetime
15. Gravity in higher and lower dimensions
16. Gravity as an emergent phenomenon
Notes
Index.
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Gravitation : foundations and frontiers by T. Padmanabhan. ISBN 9780521882231. Published by Cambridge University Press in 2010. Publication and catalogue information, links to buy online and reader comments.
