Scott R.B. A Student's Manual for A First Course in General Relativity

Cambridge University Press, UK, 2016. – 324 p. – ISBN: 1107638577, 1107037913This 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.Special relativity
Vector analysis in special relativity
Tensor analysis in special relativity
Perfect fluids in special relativity
Preface to curvature
Curved manifolds
Physics in curved spacetime
The Einstein field equations
Gravitational radiation
Spherical solutions for stars
Schwarzschild geometry and black holes
Cosmology
Appendixes
Acronyms and definitions
Usefulresults