02912nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172082001200181100002900193245020300222264004600425300004400471336002600515337002600541338003900567347002400606490005100630505016600681520105800847650001701905650002601922650001701948650003301965650003001998700002802028700002802056710003402084773002002118776003602138830005102174856010302225942001202328999001702340952009702357978-0-387-44602-8DE-He21320260521091917.0cr nn 008mamaa100301s2007    xxu|    s    |||| 0|eng d  a9780387446028  a997803874460287 a10.1007/978-0-387-44602-82doi  cCICY04a5192231 aGroah, Jeffrey.eeditor.10aShock Wave Interactions in General Relativityh[recurso electrónico] :bA Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes /cedited by Jeffrey Groah, Blake Temple, Joel Smoller. 1aNew York, NY :bSpringer New York,c2007.  aVIII, 152 p. 7 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aSpringer Monographs in Mathematics,x1439-73820 aThe Initial Value Problem in Special Relativity -- A Shock Wave Formulation of the Einstein Equations -- Existence and Consistency for the Initial Value Problem.  aThis monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics. 0aMATHEMATICS. 0aRELATIVITY (PHYSICS).14aMATHEMATICS.24aAPPLICATIONS OF MATHEMATICS.24aRELATIVITY AND COSMOLOGY.1 aTemple, Blake.eeditor.1 aSmoller, Joel.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387350738 0aSpringer Monographs in Mathematics,x1439-738240uhttp://dx.doi.org/10.1007/978-0-387-44602-8zVer el texto completo en las instalaciones del CICY  2ddccER  c33590d33590  00102ddc40708LEaCICYbCICYcELd2025-07-10l0o519r2025-07-10 08:39:59w2025-07-10yER