Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-12-16
Gen.Rel.Grav. 38 (2006) 1253-1259
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Submitted to Physical Review Letters
Scientific paper
10.1007/s10714-006-0305-2
Self-similar spacetimes are of importance to cosmology and to gravitational collapse problems. We show that self-similarity or the existence of a homothetic Killing vector field for spherically symmetric spacetimes implies the separability of the spacetime metric in terms of the co-moving coordinates and that the metric is, uniquely, the one recently reported in [cqg1]. The spacetime, in general, has non-vanishing energy-flux and shear. The spacetime admits matter with any equation of state.
Govinder Keshlan S.
Wagh Sanjay M.
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