A Student's Manual for A First Course in General Relativity
Cambridge University Press
Edition: Student, 1/21/2016
EAN 9781107638570, ISBN10: 1107638577
Paperback, 320 pages, 24.6 x 18.8 x 1.5 cm
Language: English
This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook.
Preface
1. Special relativity
2. Vector analysis in special relativity
3. Tensor analysis in special relativity
4. Perfect fluids in special relativity
5. Preface to curvature
6. Curved manifolds
7. Physics in curved spacetime
8. The Einstein field equations
9. Gravitational radiation
10. Spherical solutions for stars
11. Schwarzschild geometry and black holes
12. Cosmology
Appendix A. Acronyms and definitions
Appendix B. Useful results
References
Index.