2001/12/16 by Sanjay M. Wagh, K. S. Govinder, Keshlan S. Govinder · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysical Phenomena and Observations #Classical mechanics #Cosmology and Gravitation Theories #Differential geometry #Geometry #Homothetic transformation #Killing vector field #Mathematical analysis #Mathematical physics #Metric (unit) #Physics #Quantum #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Spacetime #Spherically symmetric spacetime #gr-qc
paper · pdf · doi:10.1007/s10714-006-0305-2
published as Gen.Rel.Grav. 38 (2006) 1253-1259 · Submitted to Physical Review Letters
arxiv created 2001/12/16 · openalex publication_date 2006/07/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.