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Introduction to 3+1 Numerical Relativity$
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Miguel Alcubierre

Print publication date: 2008

Print ISBN-13: 9780199205677

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199205677.001.0001

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BRIEF REVIEW OF GENERAL RELATIVITY

BRIEF REVIEW OF GENERAL RELATIVITY

Chapter:
(p.1) 1 BRIEF REVIEW OF GENERAL RELATIVITY
Source:
Introduction to 3+1 Numerical Relativity
Author(s):

Miguel Alcubierre

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199205677.003.0001

This chapter presents some of the basic concepts of general relativity. Topics discussed include notation and conventions, special relativity, manifolds and tensors, the metric tensor, Lie derivatives and Killing fields, coordinate transformationsm, covariant derivatives and geodesics, curvature, Bianchi identities and the Einstein tensor, general relativity, matter and the stress-energy tensor, the Einstein field equations, weak fields and gravitational waves, the Schwarzschild solution and black holes, black holes with charge and angular momentum, and causal structure, singularities and black holes.

Keywords:   basic concepts, special relativity, manifolds, tensors, derivatives, Einstein field equations, black holes

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