Conformal symmetry inheritance in null fluid spacetimes

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

doi:10.1088/0264-9381/20/5/302

Conformal symmetry inheritance in null fluid spacetimes

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

Mathematical Science

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

14 Citations (Scopus)

Abstract

We define inheriting conformal Killing vectors for null fluid spacetimes and find the maximum dimension of the associated inheriting Lie algebra. We show that for non-conformally flat null fluid spacetimes, the maximum dimension of the inheriting algebra is seven and for conformally flat null fluid spacetimes the maximum dimension is eight. In addition, it is shown that there are two distinct classes of non-conformally flat generalized plane wave spacetimes which possess the maximum dimension, and one class in the conformally flat case.

Original language	English
Pages (from-to)	801-811
Number of pages	10
Journal	Classical and Quantum Gravity
Volume	20
Issue number	5
DOIs	https://doi.org/10.1088/0264-9381/20/5/302
Publication status	Published - 2003

Keywords

KILLING VECTOR-FIELDS
PP-WAVES
TIMES

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abstract = "We define inheriting conformal Killing vectors for null fluid spacetimes and find the maximum dimension of the associated inheriting Lie algebra. We show that for non-conformally flat null fluid spacetimes, the maximum dimension of the inheriting algebra is seven and for conformally flat null fluid spacetimes the maximum dimension is eight. In addition, it is shown that there are two distinct classes of non-conformally flat generalized plane wave spacetimes which possess the maximum dimension, and one class in the conformally flat case.",

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T1 - Conformal symmetry inheritance in null fluid spacetimes

AU - Tupper, B. O. J.

AU - Keane, A. J.

AU - Hall, Graham Stanley

AU - Coley, A. A.

PY - 2003

Y1 - 2003

N2 - We define inheriting conformal Killing vectors for null fluid spacetimes and find the maximum dimension of the associated inheriting Lie algebra. We show that for non-conformally flat null fluid spacetimes, the maximum dimension of the inheriting algebra is seven and for conformally flat null fluid spacetimes the maximum dimension is eight. In addition, it is shown that there are two distinct classes of non-conformally flat generalized plane wave spacetimes which possess the maximum dimension, and one class in the conformally flat case.

AB - We define inheriting conformal Killing vectors for null fluid spacetimes and find the maximum dimension of the associated inheriting Lie algebra. We show that for non-conformally flat null fluid spacetimes, the maximum dimension of the inheriting algebra is seven and for conformally flat null fluid spacetimes the maximum dimension is eight. In addition, it is shown that there are two distinct classes of non-conformally flat generalized plane wave spacetimes which possess the maximum dimension, and one class in the conformally flat case.

KW - KILLING VECTOR-FIELDS

KW - PP-WAVES

KW - TIMES

U2 - 10.1088/0264-9381/20/5/302

DO - 10.1088/0264-9381/20/5/302

M3 - Article

SN - 0264-9381

VL - 20

SP - 801

EP - 811

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 5

ER -

Conformal symmetry inheritance in null fluid spacetimes

Abstract

Keywords

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