{"product_id":"the-analysis-of-space-time-singularities-paperback-9780521437967","title":"The Analysis of Space-Time Singularities (Paperback) 9780521437967","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Analysis of Space-Time Singularities\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIn this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eC. J. S. Clarke (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521437967, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 12 May 1994\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e192 pages, 22 b\/w illus.\u003cbr\u003e23 x 15.4 x 1.5 cm, 0.33 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'...an elegant and useful account of our present state of understanding.' William C. Saslaw, The Observatory\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe theorems of Hawking and Penrose show that space-times are likely to contain incomplete geodesics. Such geodesics are said to end at a singularity if it is impossible to continue the space-time and geodesic without violating the usual topological and smoothness conditions on the space-time. In this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail. The results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor. While the Friedmann singularity is analysed as an example, the emphasis is on general theorems and techniques rather than on the classification of particular exact solutions.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introductory\u003cbr\u003e  2. The Riemann tensor\u003cbr\u003e  3. Boundary constructions\u003cbr\u003e  4. Existence theory and differentiability\u003cbr\u003e  5. The analytic extension problem\u003cbr\u003e  6. Attributes of singularities\u003cbr\u003e  7. Extension theories.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Relativity physics [\u003ca title=\"See our other books on Relativity physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Relativity%20physics%20%5BPHR%5D%22\"\u003ePHR\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":46007298392344,"sku":"9780521437967","price":43.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521437967i_fa47733b-0b68-4d3b-a2c4-b8d52a792155.jpg?v=1691381869","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-analysis-of-space-time-singularities-paperback-9780521437967","provider":"Freshly Printed Books","version":"1.0","type":"link"}