The maximum dimension of the inheriting algebra in perfect fluid space-times

A. A. Coley; Graham Stanley Hall; A. J. Keane; B. O. J. Tupper

doi:10.1063/1.1509087

The maximum dimension of the inheriting algebra in perfect fluid space-times

A. A. Coley, Graham Stanley Hall, A. J. Keane, B. O. J. Tupper

Mathematical Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We determine the maximum dimension of the Lie algebra of inheriting conformal Killing vectors in perfect fluid space-times. For the case of conformally flat space-times the maximum dimension is eight and for the case of nonconformally flat space-times the maximum dimension is found to be five. We illustrate each case with examples. (C) 2002 American Institute of Physics.

Original language	English
Pages (from-to)	5567-5577
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	43
Issue number	11
DOIs	https://doi.org/10.1063/1.1509087
Publication status	Published - 2002

Keywords

KILLING VECTOR-FIELDS
ROBERTSON-WALKER SPACETIMES
CONFORMAL-SYMMETRIES
GENERAL-RELATIVITY

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10.1063/1.1509087

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abstract = "We determine the maximum dimension of the Lie algebra of inheriting conformal Killing vectors in perfect fluid space-times. For the case of conformally flat space-times the maximum dimension is eight and for the case of nonconformally flat space-times the maximum dimension is found to be five. We illustrate each case with examples. (C) 2002 American Institute of Physics.",

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AU - Coley, A. A.

AU - Hall, Graham Stanley

AU - Keane, A. J.

AU - Tupper, B. O. J.

PY - 2002

Y1 - 2002

N2 - We determine the maximum dimension of the Lie algebra of inheriting conformal Killing vectors in perfect fluid space-times. For the case of conformally flat space-times the maximum dimension is eight and for the case of nonconformally flat space-times the maximum dimension is found to be five. We illustrate each case with examples. (C) 2002 American Institute of Physics.

AB - We determine the maximum dimension of the Lie algebra of inheriting conformal Killing vectors in perfect fluid space-times. For the case of conformally flat space-times the maximum dimension is eight and for the case of nonconformally flat space-times the maximum dimension is found to be five. We illustrate each case with examples. (C) 2002 American Institute of Physics.

KW - KILLING VECTOR-FIELDS

KW - ROBERTSON-WALKER SPACETIMES

KW - CONFORMAL-SYMMETRIES

KW - GENERAL-RELATIVITY

U2 - 10.1063/1.1509087

DO - 10.1063/1.1509087

M3 - Article

VL - 43

SP - 5567

EP - 5577

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -

The maximum dimension of the inheriting algebra in perfect fluid space-times

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Keywords

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