Spherical collapse of inhomogeneous dust cloud in the Lovelock theory

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.

11 pages, 2 figures, typos corrected, reference added, appendix added, accepted for publication in PRD

References in corpus (6)

• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Spherical gravitational collapse in N-dimensions
• Catastrophic Instability of Small Lovelock Black Holes
• Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
• Asymptotically Flat Radiating Solutions in Third Order Lovelock Gravity