文档介绍:Springer Monographs in Mathematics
Jeffrey Groah
Joel Smoller
Blake Temple
Shock Wave Interactions in
General Relativity
A Locally Inertial Glimm Scheme for
Spherically Symmetric Spacetimes
Jeffrey Groah Joel Smoller
Department of Mathematics Department of Mathematics
Montgomery College University of Michigan
Conroe, TX 77384 Ann Arbor, MI 48109
USA USA
Blake Temple
Institute of Theoretical Dynamics
University of California, Davis
Davis, CA 95616
USA
Mathematics Subject Classification (2000): 35L65, 35L67, 83C05
Library of Congress Control Number: 2006932412
ISBN-10: 0-387-35073-X e-ISBN-10: 0-387-44602-8
ISBN-13: 978-0-387-35073-8 e-ISBN-13: 978-0-387-44602-8
Printed on acid-free paper.
© 2007 Springer Science+Business Media, LLC
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring St, New York, NY
10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in
connection with any form of information storage and retrieval, electronic adaptation, computer software,
or by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
987654321
Preface
General relativity is the modern theory of the gravitational field. It is a deep
subject that couples fluid dynamics to the geometry of spacetime through
the Einstein equations. The subject has seen a resurgence of interest recently,
partly because of the spectacular satellite data that continues to shed new light
on the nature of the universe...Einstein’s theory of gravity is still the basic
theory we have to describe the expanding universe of galaxies. But the Einstein