Posted by **insetes** at Nov. 18, 2018

2008 | 298 Pages | ISBN: 0199215405 | DJVU | 3 MB

Posted by **AvaxGenius** at July 22, 2018

English | True PDF | 2007 | 157 Pages | ISBN : 038735073X | 2.06 MB

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.

Posted by **angus77** at Aug. 26, 2014

Posted by **harrry** at June 10, 2009

240 pages | Publisher: Cambridge University Press | Reprint edition (February 15, 2003) | ISBN-10: 0521449464 | PDF

Posted by **harrry** at June 10, 2009

Cambridge University Press | 2004-03-29 | ISBN: 0521811856 | 416 pages | PDF | 3 mb

Thoroughly revised and updated, this self-contained textbook provides a pedagogical introduction to relativity. It covers the most important features of special as well as general relativity, and considers more difficult topics, such as charged pole-dipole particles, Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools are provided, most derivations are complete, and exercises are included where appropriat

Posted by **step778** at Nov. 21, 2018

2009 | pages: 378 | ISBN: 0521885124 | PDF | 23,2 mb

Posted by **AvaxGenius** at Nov. 14, 2018

English | PDF,EPUB | 2018 | 207 Pages | ISBN : 3319926713 | 10.37 MB

This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einsteinâ€™s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest.

Posted by **AvaxGenius** at Oct. 19, 2018

English | PDF,EPUB | 2018 | 207 Pages | ISBN : 3319926713 | 10.37 MB

This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einsteinâ€™s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest.

Posted by **ChrisRedfield** at Oct. 16, 2018

Published: 2001-08-17 | ISBN: 0387986413, 1441931422 | PDF | 454 pages | 12.78 MB

Posted by **interes** at Oct. 15, 2018

English | 2012 | ISBN-10: 3642245242 | 311 pages | PDF | 4,4 MB