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Full Description
This comprehensive and up-to-date manual accompanies the third edition of Bernard Schutz's A First Course in General Relativity. It offers step-by-step guidance through more than 200 selected exercises, providing detailed solutions and explanatory comments which are cross-referenced to the relevant equations and sections in Schutz's text. The material is further extended by the inclusion of 168 supplementary problems that highlight conceptual challenges and direct readers to the most useful supporting literature. A comprehensive index with bolded keywords allows for quick navigation, while an appendix of useful results makes the book a lasting reference for advanced undergraduate and graduate students, instructors, and self-directed learners seeking a deeper understanding of the subject. A Mathematica notebook and tables of exercises and supplementary problems are freely available as online resources, with instructors benefiting from access to solutions to selected exercises and problems.
Contents
Preface to the second edition; Preface to the first edition; 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. Fundamentals of gravitational radiation; 10. Spherical solutions for stars; 11. Schwarzschild geometry and black holes; 12. Gravitational wave astronomy; 13. Cosmology; Appendix A. Acronyms and definitions; Appendix B. Useful results; References; Index.
