Naked singularities in higher dimensional inhomogeneous dust collapse

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a non-self-similar higher dimensional Tolman spacetime. The necessary condition for the formation of a naked singularity or a black hole is obtained. The naked singularities are found to be gravitationally strong in the sense of Tipler and provide another example that violates the cosmic censorship conjecture.

[1]  Anzhong Wang,et al.  Collapsing perfect fluid in higher-dimensional spherical spacetimes , 2000, gr-qc/0007004.

[2]  A. Frolov.  Self-similar collapse of a scalar field in higher dimensions , 1998, gr-qc/9806112.

[3]  P. Joshi,et al.  Physical Nature of the Central Singularity in Spherical Collapse , 1998, gr-qc/9805055.

[4]  Anderson Ilha,et al.  Dimensionally continued Oppenheimer–Snyder gravitational collapse: Solutions in odd dimensions , 1996, gr-qc/9902054.

[5]  T. P. Singh,et al.  Reply to Unnikrishnan on naked singularities , 1995 .

[6]  Joshi,et al.  Role of initial data in the gravitational collapse of inhomogeneous dust. , 1994, Physical review. D, Particles and fields.

[7]  S. Chatterjee,et al.  Singularity structure of a self-similar Tolman type model in a higher-dimensional spacetime , 1994 .

[8]  C. Clarke.  A title of cosmic censorship , 1994 .

[9]  P. Joshi.  Global Aspects in Gravitation and Cosmology , 1994 .

[10]  A. Banerjee,et al.  GRAVITATIONAL COLLAPSE OF AN INHOMOGENEOUS DUST SPHERE IN HIGHER DIMENSIONAL SPACETIME , 1994 .

[11]  Joshi,et al.  Naked singularities in spherically symmetric inhomogeneous Tolman-Bondi dust cloud collapse. , 1993, Physical review. D, Particles and fields.

[12]  P. Joshi,et al.  Cosmic censorship violation in non-self-similar Tolman-Bondi models , 1992 .

[13]  Lemos.  Naked singularities: Gravitationally collapsing configurations of dust or radiation in spherical symmetry, a unified treatment. , 1992, Physical review letters.

[14]  Waugh,et al.  Strengths of shell-focusing singularities in marginally bound collapsing self-similar Tolman spacetimes. , 1988, Physical review. D, Particles and fields.

[15]  S. I. Strakhova,et al.  Angular distribution of photoelectrons in the resonance ionization of helium and helium-like lithium to the n=2 states of residual ions , 1987 .

[16]  R. Newman.  Strengths of naked singularities in Tolman-Bondi spacetimes , 1986 .

[17]  A. Królak,et al.  Conditions for the occurence of strong curvature singularities , 1985 .

[18]  D. Christodoulou.  Violation of cosmic censorship in the gravitational collapse of a dust cloud , 1984 .

[19]  J. Schwarz.  Covariant field equations of chiral N = 2 D = 10 supergravity , 1983 .

[20]  Larry Smarr,et al.  Time functions in numerical relativity: Marginally bound dust collapse , 1979 .

[21]  Reza Mansouri,et al.  General Relativity and Gravitation: A Centennial Perspective , 2015 .

[22]  George F. R. Ellis,et al.  The Large Scale Structure of Space-Time , 2023 .

[23]  O. Klein,et al.  Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English) , 1926 .