{"product_id":"the-einstein-klein-gordon-coupled-system-global-stability-of-the-minkowski-solution-paperback","title":"The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAlexandru D. Ionescu\u003c\/b\u003e (Author), \u003cb\u003eBenoît Pausader\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eA definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis book provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models. Alexandru Ionescu and Benoît Pausader prove global regularity at an appropriate level of generality of the initial data, and then prove several important asymptotic properties of the resulting space-time, such as future geodesic completeness, peeling estimates of the Riemann curvature tensor, conservation laws for the ADM tensor, and Bondi energy identities and inequalities. \u003cp\u003e\u003c\/p\u003eThe book is self-contained, providing complete proofs and precise statements, which develop a refined theory for solutions of quasilinear Klein-Gordon and wave equations, including novel linear and bilinear estimates. Only mild decay assumptions are made on the scalar field and the initial metric is allowed to have nonisotropic decay consistent with the positive mass theorem. The framework incorporates analysis both in physical and Fourier space, and is compatible with previous results on other physical models such as water waves and plasma physics.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eAlexandru D. Ionescu\u003c\/b\u003e is professor of mathematics at Princeton University. \u003cb\u003eBenoît Pausader\u003c\/b\u003e is professor of mathematics at Brown University.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 308\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.7 x 9.1 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 15, 2022\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52705138180403,"sku":"9780691233048","price":148.93,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/Zi9RZURVcUpXOTRmYzM5YThmcktOUT09.webp?v=1763373380","url":"https:\/\/www.vysn.com\/en-ca\/products\/the-einstein-klein-gordon-coupled-system-global-stability-of-the-minkowski-solution-paperback","provider":"VYSN","version":"1.0","type":"link"}