Generalized Oppenheimer-Snyder Gravitational Collapse into Regular Black holes

Abstract

We shall study the formation of a particular class of regular black holes from the gravitational collapse of a massive star. The inside geometry is described by spatially flat Friedmann-Robertson-Walker metric and the stellar matter is distributed uniformly without any pre-assumption about its equation of state. Our model is a generalization of Oppenheimer-Snyder collapse for regular black holes. We have obtained the density and pressure of star by applying the condition of smooth joining of metrics at the freely falling surface of star. Specifying the regular black holes to Hayward and Bardeen cases, we see that the stellar matter is described by a polytropic equation of state and moreover, for the radius smaller than a certain value, the strong energy condition becomes invalid. Then for both black holes, the interior apparent and event horizons and also the stellar surface are obtained as functions of the proper time of star. At the end, we have constructed a new two parametric family of regular black holes jointed smoothly to the flat Friedmann-Robertson-Walker interior metric of a polytropic star with an arbitrary index.

To appear in Class. Quant. Grav

References in corpus (11)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Regular black holes with a nonlinear electrodynamics source
• Notes on non-singular models of black holes
• Noncommutative geometry inspired charged black holes
• Singularity avoidance in quantum-inspired inhomogeneous dust collapse
• Can static regular black holes form from gravitational collapse?
• Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
• The shape of a rapidly rotating polytrope with index unity
• New regular black hole solutions and other electrically charged compact objects with a de Sitter core and a matter layer