Spherical collapse of inhomogeneous dust cloud in the Lovelock theory

Details Spherical collapse of inhomogeneous dust cloud in the Lovelock theory Spherical collapse of inhomogeneous dust cloud in the Lovelock theory

2011-03-20

arxiv.org/abs/1103.3826v2

Phys.Rev.D84:024021,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.84.024021

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.

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