02861nam a22004575i 4500 978-0-387-44602-8 DE-He213 20260521091917.0 cr nn 008mamaa 100301s2007 xxu| s |||| 0|eng d 9780387446028 99780387446028 10.1007/978-0-387-44602-8 doi CICY 519 23 Groah, Jeffrey. editor. Shock Wave Interactions in General Relativity [recurso electrónico] : A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes / edited by Jeffrey Groah, Blake Temple, Joel Smoller. New York, NY : Springer New York, 2007. VIII, 152 p. 7 illus. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Springer Monographs in Mathematics, 1439-7382 The Initial Value Problem in Special Relativity -- A Shock Wave Formulation of the Einstein Equations -- Existence and Consistency for the Initial Value Problem. This 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. MATHEMATICS. RELATIVITY (PHYSICS). MATHEMATICS. APPLICATIONS OF MATHEMATICS. RELATIVITY AND COSMOLOGY. Temple, Blake. editor. Smoller, Joel. editor. SpringerLink (Online service) Springer eBooks Printed edition: 9780387350738 Springer Monographs in Mathematics, 1439-7382 http://dx.doi.org/10.1007/978-0-387-44602-8 Ver el texto completo en las instalaciones del CICY ddc ER 33590 33590 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 519 2025-07-10 08:39:59 2025-07-10 ER