{"product_id":"black-hole-uniqueness-theorems-paperback-9780521567350","title":"Black Hole Uniqueness Theorems (Paperback) 9780521567350","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBlack Hole Uniqueness Theorems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA self-contained introduction to the mathematical theory of black holes.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMarkus Heusler (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521567350, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 July 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e264 pages\u003cbr\u003e22.8 x 15.3 x 1.7 cm, 0.369 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'Black Hole Uniqueness Theorems, is a valuable addition to the literature on the mathematical theory of stationary black holes … The author has succeeded in presenting a self-contained account of black hole uniqueness theorems … I can recommend this book strongly to readers interested in black holes.' Pawel O. Mazur, General Relativity and Gravitation\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis timely review provides a self-contained introduction to the mathematical theory of stationary black holes and a self-consistent exposition of the corresponding uniqueness theorems. The opening chapters examine the general properties of space-times admitting Killing fields and derive the Kerr-Newman metric. Strong emphasis is given to the geometrical concepts. The general features of stationary black holes and the laws of black hole mechanics are then reviewed. Critical steps towards the proof of the 'no-hair' theorem are then discussed, including the methods used by Israel, the divergence formulae derived by Carter, Robinson and others, and finally the sigma model identities and the positive mass theorem. The book is rounded off with an extension of the electro-vacuum uniqueness theorem to self-gravitating scalar fields and harmonic mappings. This volume provides a rigorous textbook for graduate students in physics and mathematics. It also offers an invaluable, up-to-date reference for researchers in mathematical physics, general relativity and astrophysics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Preliminaries\u003cbr\u003e 2. Spacetimes admitting killing fields\u003cbr\u003e 3. Circular spacetimes\u003cbr\u003e 4. The Kerr metric\u003cbr\u003e 5. Electrovac spacetimes with killing fields\u003cbr\u003e 6. Stationary black holes\u003cbr\u003e 7. The laws of black hole physics\u003cbr\u003e 8. Integrability and divergence identities\u003cbr\u003e 9. Uniqueness theorems for nonrotating holes\u003cbr\u003e 10. Uniqueness theorems for rotating holes\u003cbr\u003e 11. Scalar mappings\u003cbr\u003e 12. Self-gravitating harmonic mappings\u003cbr\u003e References\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46065998725400,"sku":"9780521567350","price":46.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521567350i.jpg?v=1691408662","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/black-hole-uniqueness-theorems-paperback-9780521567350","provider":"Freshly Printed Books","version":"1.0","type":"link"}