Spherical collapse of inhomogeneous dust cloud in the Lovelock theory
arXiv:1103.3826 · doi:10.1103/PhysRevD.84.024021
Abstract
We study gravitational collapse of a spherically symmetric inhomogeneous dust cloud in the Lovelock theory without cosmological constant. We show that the final fate of gravitational collapse in this theory depends on the spacetime dimensions. In odd dimensions the naked singularities formed are found to be massive. In the even dimensions,on the other hand, the naked singularities are found to be massless. We also show that the curvature strength of naked singularity is independent of the spacetime dimensions in odd dimensions. However, it depends on the spacetime dimensions in even dimension.
arXiv comment11 pages, 2 figures, typos corrected, reference added, appendix added, accepted for publication in PRD
References in corpus (20)
- Gauss-Bonnet Black Holes in AdS Spaces
- Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
- Singularity Theorems and Their Consequences
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Dimensionally Continued Black Holes
- Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
- The Final Fate of Spherical Inhomogeneous Dust Collapse
- Spherical gravitational collapse in N-dimensions
- Catastrophic Instability of Small Lovelock Black Holes
- Effects of Gauss-Bonnet term on the final fate of gravitational collapse
- The final fate of spherical inhomogeneous dust collapse II: Initial data and causal structure of singularity
- Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
- Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
- Higher dimensional inhomogeneous dust collapse and cosmic censorship
- Effects of Lovelock terms on the final fate of gravitational collapse: analysis in dimensionally continued gravity
- Dimensionally continued Oppenheimer-Snyder gravitational collapse II: solutions in odd dimensions
- Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity
- Dimensionally continued Oppenheimer-Snyder gravitational collapse. I - solutions in even dimensions
- Analysis of the Fisher solution
- Cosmic Censorship in Higher Dimensions
Cited by in corpus (11)
- Equilibrium configurations from gravitational collapse
- Causality and Hyperbolicity of Lovelock Theories
- Gravitational collapse in pure Lovelock gravity in higher dimensions
- Lovelock black holes with non-constant curvature horizon
- Instability of Charged Lovelock Black Holes: Vector Perturbations and Scalar Perturbations
- On the global visibility of a singularity in spherically symmetric gravitational collapse
- Null Fluid collapse in Rastall theory of gravity
- Gravitational collapse of anisotropic stars
- Gravitational collapse of charged dust cloud in the Lovelock gravity
- Cosmic censorship in Lovelock theory
- Violation of cosmic censorship in the gravitational collapse of a dust cloud in five dimension