
- English
- PDF
- Available on iOS & Android
A Student's Manual for A First Course in General Relativity
About this book
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.
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Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright information
- Table of contents
- 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