LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	519
Title	Shock Wave Interactions in General Relativity (EB) : A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes / Jeffrey Groah, Joel Smoller, Blake Temple
Author	Groah, Jeffrey
Added Personal Name	Smoller, Joel
Added Personal Name	Temple, Blake
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2007
Physical Details	: 1 online resource (158 pages)
Series	Springer monographs in mathematics 1439-7382
ISBN	9780387446028
Summary Note	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.:
Contents note	The Initial Value Problem in Special Relativity -- A Shock Wave Formulation of the Einstein Equations -- Existence and Consistency for the Initial Value Problem.
System details note	Online access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-44602-8
Links to Related Works	Subject References: Applications of Mathematics . Einstein field equations . Relativity and Cosmology . Relativity (Physics) . Shock waves . Authors: Groah, Jeffrey . Smoller, Joel . Temple, Blake . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 519 . 519 (DDC 23) .

Catalogue Display

Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes

Reviews