Homothetic perfect fluid space-times

Details Homothetic perfect fluid space-times Homothetic perfect fluid space-times

1996-07-24

arxiv.org/abs/gr-qc/9607061v1

Class.Quant.Grav. 14 (1997) 1183-1205

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, Latex file, Submitted to Class. Quantum Grav

Scientific paper

10.1088/0264-9381/14/5/021

A brief summary of results on homotheties in General Relativity is given, including general information about space-times admitting an r-parameter group of homothetic transformations for r>2, as well as some specific results on perfect fluids. Attention is then focussed on inhomogeneous models, in particular on those with a homothetic group $H_4$ (acting multiply transitively) and $H_3$. A classification of all possible Lie algebra structures along with (local) coordinate expressions for the metric and homothetic vectors is then provided (irrespectively of the matter content), and some new perfect fluid solutions are given and briefly discussed.

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