Spherically symmetric, selfsimilar space-times

Dec, 2001
4 pages
Published in:
  • Gen.Rel.Grav. 38 (2006) 1253-1259
e-Print:

Citations per year

200120062011201620211502
Abstract: (arXiv)
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.