{"product_id":"an-introduction-to-general-relativity-and-cosmology-hardback-9781009415620","title":"An Introduction to General Relativity and Cosmology (Hardback) 9781009415620","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to General Relativity and Cosmology\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eExperts introduce the tools of GR and relativistic cosmology, guiding advanced students through complete derivations of the results.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJerzy Plebanski (Author), Andrzej Krasinski (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009415620, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 June 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e578 pages\u003cbr\u003e25 x 17.5 x 3.6 cm, 1.15 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Both authors are well known for their highly mathematical approach to General Relativity (GR) … no prior knowledge of GR or differential geometry is assumed, though knowledge of calculus, Special Relativity, classical mechanics, and electrodynamics is assumed … it is a good book if one wants to learn GR in some detail with applications to many fields presented in a uniform notation … apart from worked examples in the main text, there are exercises at the end of most chapters … it is very well written … I also enjoyed the footnotes, which are often comments on the history of the topic.' Phillip Helbig, The Observatory\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eExperts Plebański and Krasiński provide a thorough introduction to the tools of general relativity and relativistic cosmology. Assuming familiarity with advanced calculus, classical mechanics, electrodynamics and special relativity, the text begins with a short course on differential geometry, taking a unique top-down approach. Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric tensor and the (pseudo)-Riemannian geometry introduced, specialising the general results to this case. The main text describes relativity as a physical theory, with applications to astrophysics and cosmology. It takes the reader beyond traditional courses on relativity through in-depth descriptions of inhomogeneous cosmological models and the Kerr metric. Emphasis is given to complete and clear derivations of the results, enabling readers to access research articles published in relativity journals.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eThe scope of this text\u003cbr\u003e Preface to the second edition\u003cbr\u003e Acknowledgements\u003cbr\u003e 1. How the theory of relativity came into being (a brief historical sketch)\u003cbr\u003e Part I. Elements of Differential Geometry: 2. A short sketch of 2-dimensional differential geometry\u003cbr\u003e 3. Tensors, tensor densities\u003cbr\u003e 4. Covariant derivatives\u003cbr\u003e 5. Parallel transport and geodesic lines\u003cbr\u003e 6. The curvature of a manifold\u003cbr\u003e flat manifolds\u003cbr\u003e 7. Riemannian geometry\u003cbr\u003e 8. Symmetries of Riemann spaces, invariance of tensors\u003cbr\u003e 9. Methods to calculate the curvature quickly: differential forms and algebraic computer programs\u003cbr\u003e 10. The spatially homogeneous Bianchi-type spacetimes\u003cbr\u003e 11. The Petrov classification by the spinor method\u003cbr\u003e Part II. The Theory of Gravitation: 12. The Einstein equations and the sources of a gravitational field\u003cbr\u003e 13. The Maxwell and Einstein–Maxwell equations and the Kaluza–Klein theory\u003cbr\u003e 14. Spherically symmetric gravitational fields of isolated objects\u003cbr\u003e 15. Relativistic hydrodynamics and thermodynamics\u003cbr\u003e 16. Relativistic cosmology I: general geometry\u003cbr\u003e 17. Relativistic cosmology II: the Robertson–Walker geometry\u003cbr\u003e 18. Relativistic cosmology III: the Lemaître–Tolman geometry\u003cbr\u003e 19. Relativistic cosmology IV: Simple generalisations of L–T and related geometries\u003cbr\u003e 20. Relativistic cosmology V: the Szekeres geometries\u003cbr\u003e 21. The Kerr metric\u003cbr\u003e 22 Relativity enters technology: the Global Positioning System\u003cbr\u003e 23. Subjects omitted from this book\u003cbr\u003e 24. Comments to selected exercises and calculations\u003cbr\u003e References\u003cbr\u003e Index.\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":52475000226072,"sku":"9781009415620","price":57.87,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009415620i.jpg?v=1785802942","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-general-relativity-and-cosmology-hardback-9781009415620","provider":"Freshly Printed Books","version":"1.0","type":"link"}