# Spherical gravitational collapse in N dimensions

@article{Goswami2007SphericalGC, title={Spherical gravitational collapse in N dimensions}, author={Rituparno Goswami and Pankaj S. Joshi}, journal={Physical Review D}, year={2007}, volume={76}, pages={084026} }

We investigate here spherically symmetric gravitational collapse in a space-time with an arbitrary number of dimensions and with a general type I matter field, which is a broad class that includes most of the physically reasonable matter forms. We show that given the initial data for matter in terms of the initial density and pressure profiles at an initial surface t=t{sub i} from which the collapse evolves, there exist the rest of the initial data functions and classes of solutions of Einstein…

## 47 Citations

Stability analysis in N-dimensional gravitational collapse with an equation of state

- Mathematics
- 2012

We study the stability of occurrence of black holes and naked singularities that arise as the final states of a complete gravitational collapse of type I matter field in a spherically symmetric…

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- Physics, Mathematics
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Here we investigate the genericity and stability aspects for naked singularities and black holes that arise as the final states for a complete gravitational collapse of a spherical massive matter…

GRAVITATIONAL COLLAPSE WITH TANGENTIAL PRESSURE

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- 2011

Using the general formalism for spherical gravitational collapse developed in [P. S. Joshi and I. H. Dwivedi, Class. Quant. Grav.16 (1999) 41; P. S. Joshi and R. Goswami, Phys. Rev. D76 (2007)…

Dynamics of radiating stars in the strong gravity regime.

- Physics
- 2017

We model the dynamics of a spherically symmetric radiating dynamical star, emitting outgoing null radiation, with three spacetime regions. The local internal atmosphere is a two-component system…

The dimensional dependence of naked singularity formation in spherical gravitational collapse

- Physics
- 2007

The complete spectrum of the endstates—naked singularities or black holes—of gravitational collapse is analyzed for a wide class of N-dimensional spacetimes in spherical symmetry, which includes and…

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- Mathematics
- 2015

In this thesis, we study the gravitational collapse of generalized Vaidya spacetimes which describe a combination of lightlike and timelike matter fields, commonly known as Type I and Type II fields,…

High-speed collapse of a hollow sphere of type I matter

- Physics
- 2009

In this paper, we study the dynamics of a hollow spherical matter collapsing with a very large initial velocity. The spacetime is initially very similar to the Vaidya solution, and the deviations…

Recent developments in gravitational collapse and spacetime singularities

- Physics
- 2011

It is now known that when a massive star collapses under the force of its own gravity, the final fate of such a continual gravitational collapse will be either a black hole or a naked singularity…

Gravitational collapse in (
2+1
)-dimensional Eddington-inspired Born-Infeld gravity

- PhysicsPhysical Review D
- 2018

We study here the gravitational collapse of dust in $(2+1)$-dimensional spacetimes for the formation of black holes (BH) and naked singularities (NS) as final states in a modified theory of gravity,…

Gravitationally Collapsing Shells in (2+1) Dimensions

- Physics
- 2006

We study gravitationally collapsing models of pressureless dust, fluids with pressure, and the generalized Chaplygin gas (GCG) shell in (2+1)-dimensional spacetimes. Various collapse scenarios are…

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