Conformal symmetry inheritance in null fluid spacetimes

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

Research output: Contribution to journalArticle

10 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 languageEnglish
Pages (from-to)801-811
Number of pages10
JournalClassical and Quantum Gravity
Volume20
Issue number5
DOIs
Publication statusPublished - 2003

Keywords

  • KILLING VECTOR-FIELDS
  • PP-WAVES
  • TIMES

Cite this

Tupper, B. O. J., Keane, A. J., Hall, G. S., & Coley, A. A. (2003). Conformal symmetry inheritance in null fluid spacetimes. Classical and Quantum Gravity, 20(5), 801-811. https://doi.org/10.1088/0264-9381/20/5/302

Conformal symmetry inheritance in null fluid spacetimes. / Tupper, B. O. J.; Keane, A. J.; Hall, Graham Stanley; Coley, A. A.

In: Classical and Quantum Gravity, Vol. 20, No. 5, 2003, p. 801-811.

Research output: Contribution to journalArticle

Tupper, BOJ, Keane, AJ, Hall, GS & Coley, AA 2003, 'Conformal symmetry inheritance in null fluid spacetimes', Classical and Quantum Gravity, vol. 20, no. 5, pp. 801-811. https://doi.org/10.1088/0264-9381/20/5/302
Tupper, B. O. J. ; Keane, A. J. ; Hall, Graham Stanley ; Coley, A. A. / Conformal symmetry inheritance in null fluid spacetimes. In: Classical and Quantum Gravity. 2003 ; Vol. 20, No. 5. pp. 801-811.
@article{7df7091cf9f54c5c97912a4527045cf9,
title = "Conformal symmetry inheritance in null fluid spacetimes",
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.",
keywords = "KILLING VECTOR-FIELDS, PP-WAVES, TIMES",
author = "Tupper, {B. O. J.} and Keane, {A. J.} and Hall, {Graham Stanley} and Coley, {A. A.}",
year = "2003",
doi = "10.1088/0264-9381/20/5/302",
language = "English",
volume = "20",
pages = "801--811",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "5",

}

TY - JOUR

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

VL - 20

SP - 801

EP - 811

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 5

ER -