Affine collineations in Robertson-Walker space-time

R. Maartens

doi:10.1063/1.527414

Affine collineations in Robertson-Walker space-time

R. Maartens^*

^*Corresponding author for this work

Institute of Cosmology & Gravitation

University of the Witwatersrand

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

Abstract

In a recent paper [M. L. Bedran and B. Lesche, J. Math. Phys. 27, 2360 (1986)], an attempt was made to find an affine collineation in Robertson-Walker space-time. However, only a homothetic affine collineation was found, in the case of a linear scale factor, R(t)∼t. It is pointed out that another homothetic affine collineation exists when R(t)∼t^b, and a proper (nonhomothetic) affine collineation in the Einstein static space-times has been found.

Original language	English
Pages (from-to)	2051-2052
Number of pages	2
Journal	Journal of Mathematical Physics
Volume	28
Issue number	9
DOIs	https://doi.org/10.1063/1.527414
Publication status	Published - 1 Jan 1987

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abstract = "In a recent paper [M. L. Bedran and B. Lesche, J. Math. Phys. 27, 2360 (1986)], an attempt was made to find an affine collineation in Robertson-Walker space-time. However, only a homothetic affine collineation was found, in the case of a linear scale factor, R(t)∼t. It is pointed out that another homothetic affine collineation exists when R(t)∼tb, and a proper (nonhomothetic) affine collineation in the Einstein static space-times has been found.",

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AB - In a recent paper [M. L. Bedran and B. Lesche, J. Math. Phys. 27, 2360 (1986)], an attempt was made to find an affine collineation in Robertson-Walker space-time. However, only a homothetic affine collineation was found, in the case of a linear scale factor, R(t)∼t. It is pointed out that another homothetic affine collineation exists when R(t)∼tb, and a proper (nonhomothetic) affine collineation in the Einstein static space-times has been found.

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Affine collineations in Robertson-Walker space-time

Abstract

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