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[null,"1.","Record Nr.",null,"UNINA9910151932503321"]
[null,null,"Autore",null,"Ringström Hans"]
[null,null,"Titolo",null,"The Cauchy Problem in General Relativity [[electronic resource] /] / Hans Ringström"]
[null,null,"Pubbl/distr/stampa",null,"Zuerich, Switzerland, : European Mathematical Society Publishing House, 2009"]
[null,null,"ISBN",null,"3-03719-553-3"]
[null,null,"Descrizione fisica",null,"1 online resource (307 pages)"]
[null,null,"Collana",null,"ESI Lectures in Mathematics and Physics (ESI)"]
[null,null,"Classificazione",null,"83-xx"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Relativity and gravitational theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Sommario/riassunto","The general theory of relativity is a theory of manifolds equipped with  Lorentz metrics and fields which describe the matter content. Einstein's  equations equate the Einstein tensor (a curvature quantity associated  with the Lorentz metric) with the stress energy tensor (an object constructed  using the matter fields). In addition, there are equations  describing the evolution of the matter. Using symmetry as a guiding  principle, one is naturally led to the Schwarzschild and  Friedmann-Lemaître-Robertson-Walker solutions,  modelling an isolated system and  the entire universe respectively. In a different approach, formulating  Einstein's equations as an initial value problem allows a closer study of  their solutions. This book first provides a definition of the concept of  initial data and a proof of the correspondence between initial data and  development. It turns out that some initial data allow non-isometric  maximal developments, complicating the uniqueness issue. The second  half of the book is concerned with this and related problems, such as  strong cosmic censorship.    The book presents complete proofs of several classical results that play a  central role in mathematical relativity but are not easily accessible to  those wishing to enter the subject. Prerequisites are a good knowledge  of basic measure and integration theory as well as the fundamentals of  Lorentz geometry. The necessary background from the theory of partial  differential equations and Lorentz geometry is included."]