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General Relativity

Partial Differential Equations in General Relativity  eBooks & eLearning

Posted by insetes at Nov. 18, 2018
Partial Differential Equations in General Relativity

Partial Differential Equations in General Relativity By Alan Rendall
2008 | 298 Pages | ISBN: 0199215405 | DJVU | 3 MB
Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (Repost)

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

Books on Special and General Relativity  eBooks & eLearning

Posted by angus77 at Aug. 26, 2014
Books on Special and General Relativity

Books on Special and General Relativity
English | PDF | Large Books Collection | 1.38 GB

Advanced general relativity (Stewart J.) (Repost)  eBooks & eLearning

Posted by harrry at June 10, 2009
Advanced general relativity (Stewart J.) (Repost)

Advanced general relativity (Stewart J.)
240 pages | Publisher: Cambridge University Press | Reprint edition (February 15, 2003) | ISBN-10: 0521449464 | PDF
A modern self-contained introduction to key topics in advanced general relativity. The opening chapter reviews the subject, with strong emphasis on the geometric structures underlying the theory. The next chapter discusses 2-component spinor theory, its usefulness for describing zero-mass fields, its practical application via Newman-Penrose formalism, together with examples and applications. The subsequent chapter is an account of the asymptotic theory far from a strong gravitational source, describing the mathematical theory by which measurements of the far-field and gravitational radiation emanating from a source can be used to describe the source itself. The final chapter describes the natural characteristic initial value problem, first in general terms, and then with particular emphasis for relativity, concluding with its relation to Arnold's singularity theory.

Relativity : An Introduction to Special and General Relativity (Repost)  eBooks & eLearning

Posted by harrry at June 10, 2009
Relativity : An Introduction to Special and General Relativity (Repost)

Relativity : An Introduction to Special and General Relativity
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

The Kerr Spacetime: Rotating Black Holes in General Relativity  eBooks & eLearning

Posted by step778 at Nov. 21, 2018
The Kerr Spacetime: Rotating Black Holes in General Relativity

David L. Wiltshire, Matt Visser, Susan M. Scott, "The Kerr Spacetime: Rotating Black Holes in General Relativity"
2009 | pages: 378 | ISBN: 0521885124 | PDF | 23,2 mb
Scalar Fields in Numerical General Relativity: Inhomogeneous Inflation and Asymmetric Bubble Collapse (Repost)

Scalar Fields in Numerical General Relativity: Inhomogeneous Inflation and Asymmetric Bubble Collapse by Katy Clough
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 Einstein’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.
Scalar Fields in Numerical General Relativity: Inhomogeneous Inflation and Asymmetric Bubble Collapse (Repost)

Scalar Fields in Numerical General Relativity: Inhomogeneous Inflation and Asymmetric Bubble Collapse by Katy Clough
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 Einstein’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.

The Geometry of Spacetime: An Introduction to Special and General Relativity  eBooks & eLearning

Posted by ChrisRedfield at Oct. 16, 2018
The Geometry of Spacetime: An Introduction to Special and General Relativity

James J. Callahan - The Geometry of Spacetime: An Introduction to Special and General Relativity
Published: 2001-08-17 | ISBN: 0387986413, 1441931422 | PDF | 454 pages | 12.78 MB

3+1 Formalism in General Relativity: Bases of Numerical Relativity (repost)  eBooks & eLearning

Posted by interes at Oct. 15, 2018
3+1 Formalism in General Relativity: Bases of Numerical Relativity (repost)

3+1 Formalism in General Relativity: Bases of Numerical Relativity by Eric Gourgoulhon
English | 2012 | ISBN-10: 3642245242 | 311 pages | PDF | 4,4 MB