Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity

Abstract

Perfect fluid with kinematic self-similarity is studied in 2+1 dimensional spacetimes with circular symmetry, and various exact solutions to the Einstein field equations are given. In particular, these include all the solutions of dust and stiff perfect fluid with self-similarity of the first kind, and all the solutions of perfect fluid with a linear equation of state and self-similarity of the zeroth or second kind. It is found that some of these solutions represent gravitational collapse, and the final state of the collapse can be either black holes or naked singularities.

Latex file, including six figures

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• Existence of black holes in Friedmann-Robertson-Walker universe dominated by dark energy
• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
• Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity
• Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity
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• Spacetime Singularities in String and its Low Dimensional Effective Theory
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• Dressing a Naked Singularity: an Example
• Perturbed Self-Similar Massless Scalar Field in the Spacetimes with Circular Symmetry in 2+1 Gravity
• Gravitational Collapse of Circularly Symmetric Stiff Fluid with Self-Similarity in 2+1 Gravity
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid
• Cosmology from Strong Interactions
• Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid with Self-Similarity of the First Kind in (2+1) Dimensions
• Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes