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Title: Killing vectors and anisotropy

Abstract

We consider an action that can generate fluids with three unequal stresses for metrics with a spacelike Killing vector. The parameters in the action are directly related to the stress anisotropies. The field equations following from the action are applied to an anisotropic cosmological expansion and an extension of the Gott-Hiscock cosmic string.

Authors:
;  [1]
  1. Department of Physics, University of Michigan, Ann Arbor, Michigan 48109 (United States)
Publication Date:
OSTI Identifier:
21322460
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 80; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.80.044001; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANISOTROPY; COSMOLOGICAL MODELS; EXPANSION; FIELD EQUATIONS; METRICS; STRING MODELS; VECTORS

Citation Formats

Krisch, J. P., and Glass, E. N. Killing vectors and anisotropy. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.044001.
Krisch, J. P., & Glass, E. N. Killing vectors and anisotropy. United States. doi:10.1103/PHYSREVD.80.044001.
Krisch, J. P., and Glass, E. N. 2009. "Killing vectors and anisotropy". United States. doi:10.1103/PHYSREVD.80.044001.
@article{osti_21322460,
title = {Killing vectors and anisotropy},
author = {Krisch, J. P. and Glass, E. N.},
abstractNote = {We consider an action that can generate fluids with three unequal stresses for metrics with a spacelike Killing vector. The parameters in the action are directly related to the stress anisotropies. The field equations following from the action are applied to an anisotropic cosmological expansion and an extension of the Gott-Hiscock cosmic string.},
doi = {10.1103/PHYSREVD.80.044001},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 80,
place = {United States},
year = 2009,
month = 8
}
  • Properties of the Lie derivative of massless and massive fields are considered in general relativity theory. (AIP)
  • The form of the isometric, homothetic, and conformal Killing vectors for algebraically special metrics which admit a shear-free congruence of null geodesics is obtained by considering their complexification, using the existence of a congruence of null strings. The Killing equations are partially integrated and the reasons which permit this reduction are exhibited. In the case where the congruence of null strings has a vanishing expansion, the Killing equations are reduced to a single master equation.
  • On the basis of Killing vectors, a systematic method for solving Baecklund transformations of the Euler equation in the harmonic mapping theory is presented. As an application, the Ernst equation for stationary axisymmetrical gravitation is discussed, and the Ehler transformation of that equation is obtained.
  • Empty space algebraically special metrics possessing an expanding degenerate principal null vector and Killing vectors are investigated. Attention is centered on that class of Killing vector (called nonpreferred) which is necessarily spacelike in the asymptotic region. A detailed analysis of the relationship between the Petrov--Penrose classification and these Killing vectors is carried out.