Spherically Symmetric, Self-Similar Spacetimes

Abstract

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.

Submitted to Physical Review Letters

References in corpus (1)

• Self-Similarity in General Relativity \endtitle

Cited by in corpus (4)

• Geodesic models generated by Lie symmetries
• Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
• Gravitational collapse in f(R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid