Spherical gravitational collapse: tangential pressure and related equations of state

Abstract

We derive an equation for the acceleration of a fluid element in the spherical gravitational collapse of a bounded compact object made up of an imperfect fluid. We show that non-singular as well as singular solutions arise in the collapse of a fluid initially at rest and having only a tangential pressure. We obtain an exact solution of Einstein equations, in the form of an infinite series, for collapse under tangential pressure with a linear equation of state. We show that if a singularity forms in the tangential pressure model, the conditions for the singularity to be naked are exactly the same as in the model of dust collapse.

Latex, 26 pages

References in corpus (1)

• A simple derivation of the naked singularity in spherical dust collapse

Cited by in corpus (19)

• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Conformally flat anisotropic spheres in general relativity
• Gravitational Collapse: The Story so far
• Nonlocal Equation of State in Anisotropic Static Fluid Spheres in General Relativity
• Naked Singularity Formation In f(R) Gravity
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Naked Singularity Formation In Brans-Dicke Theory
• The Lemaitre-Schwarzschild Problem Revisited
• Trapped surfaces and nature of singularities in Lyra's geometry
• Gravitational collapse with tachyon field and barotropic fluid
• The Geometry of Black Hole singularities
• Exact solutions for spherically gravitational collapse around a black hole: the effect of tangential pressure
• The holographic solution - Why general relativity must be understood in terms of strings
• Non-Singular Collapse Scenario From Matter-Curvature Coupling
• Influence of intrinsic spin in the formation of singularities for inhomogeneous effective dust space-times
• Static Vacuum Solutions in Non-Riemannian Gravity
• Reissner Nordström Background Metric in Dynamical Co-ordinates: Exceptional Behaviour of Hadamard States
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities
• The holostar - a self-consistent model for a compact self-gravitating object