{"product_id":"general-relativity-a-graduate-course-hardback-9781009575751","title":"General Relativity; A Graduate Course (Hardback) 9781009575751","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGeneral Relativity\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Graduate Course\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA text on general relativity and its modern applications for an intensive one-semester Ph.D.-level course in physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHoratiu Nastase (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009575751, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 May 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e402 pages\u003cbr\u003e26 x 18.5 x 2.8 cm, 0.91 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis text on general relativity and its modern applications is suitable for an intensive one-semester course on general relativity, at the level of a Ph.D. student in physics. Assuming knowledge of classical mechanics and electromagnetism at an advanced undergraduate level, basic concepts are introduced quickly, with greater emphasis on their applications. Standard topics are covered, such as the Schwarzschild solution, classical tests of general relativity, gravitational waves, ADM parametrization, relativistic stars and cosmology, as well as more advanced standard topics like vielbein-spin connection formulation, trapped surfaces, the Raychaudhuri equation, energy conditions, the Petrov and Bianchi classifications and gravitational instantons. More modern topics, including black hole thermodynamics, gravitational entropy, effective field theory for gravity, the PPN expansion, the double copy and fluid-gravity correspondence, are also introduced using the language understood by physicists, without too abstract mathematics, proven theorems, or the language of pure mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. General relativity, kinematics: metric, parallel transport, and general coordinate invariance\u003cbr\u003e 2. General relativity, dynamics: curvature, the Einstein–Hilbert action and the Einstein equation\u003cbr\u003e 3. Perturbative gravity: Fierz–Pauli action and gauge conditions\u003cbr\u003e 4. Gravitational waves: perturbation, exact solutions, generation, multipole expansion\u003cbr\u003e 5. Nonperturbative gravity: the vacuum Schwarzschild solution\u003cbr\u003e 6. Deflection of light by the Sun and comparison with special relativity\u003cbr\u003e 7. The other classical tests of general relativity: the gravitational redshift, the perihelion precession, the time delay of radar\u003cbr\u003e 8. Vielbein-spin connection formulation of general relativity\u003cbr\u003e gravity vs. gauge theory, in 4 dimensions and 3 dimensions\u003cbr\u003e 9. Gravity and geometry, Lovelock and Chern–Simons, topological terms, extensions, anomalies\u003cbr\u003e 10. The ADM parametrization and applications\u003cbr\u003e 11. Canonical formalism for gravity, Wheeler–de Wit equation, canonical quantization of gravity\u003cbr\u003e 12. Gravitoelectric and gravitomagnetic fields and applications\u003cbr\u003e 13. Penrose diagrams and black holes\u003cbr\u003e Schwarzschild example\u003cbr\u003e 14. Reissner-Nordstrom black hole spacetime and extremal black holes\u003cbr\u003e 15. Kerr and Kerr–Newman black hole spacetimes and the Penrose process\u003cbr\u003e 16. Trapped surfaces, event horizons, causality and topology\u003cbr\u003e 17. The Raychaudhuri equation\u003cbr\u003e 18. The laws of black hole thermodynamics and black hole radiation\u003cbr\u003e 19. Wald entropy and Sen's entropy function formalism\u003cbr\u003e 20. The energy conditions, singularity theorems, and wormholes\u003cbr\u003e 21. Relativistic stars and gravitational collapse to black holes\u003cbr\u003e 22. Effective field theory from gravity and black holes\u003cbr\u003e 23. General relativity solutions and the gauge theory double copy\u003cbr\u003e 24. The fluid-gravity correspondence\u003cbr\u003e 25. Fully linear gravity example: parallel plane (pp) wave and gravitational shockwave solutions\u003cbr\u003e 26. Dimensional reduction solutions: the domain wall, the cosmic string, and the 3-dimensional BTZ black hole solutions\u003cbr\u003e 27. Time-dependent gravity solutions: the Friedmann-Lemaître–Robertson–Walker (FLRW) cosmological solution, de Sitter and Anti-de Sitter cosmologies\u003cbr\u003e 28. General relativistic aspects of inflationary cosmology\u003cbr\u003e 29. The (Parametrized) Post-Newtonian expansion and metric frames\u003cbr\u003e 30. The Newman-Penrose formalism\u003cbr\u003e 31. The Petrov classification\u003cbr\u003e 32. The Bianchi classification of Lie algebras, Riemannian manifolds and cosmologies\u003cbr\u003e 33. Nontrivial topologies: Gravitational instantons, Taub-NUT, KK monopole and Gödel spacetimes\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Atmospheric physics [\u003ca title=\"See our other books on Atmospheric physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Atmospheric%20physics%20%5BPHVJ%5D%22\"\u003ePHVJ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52475091845400,"sku":"9781009575751","price":51.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009575751i.jpg?v=1785804735","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/general-relativity-a-graduate-course-hardback-9781009575751","provider":"Freshly Printed Books","version":"1.0","type":"link"}