Call for Paper - September 2022 Edition
IJCA solicits original research papers for the September 2022 Edition. Last date of manuscript submission is August 22, 2022. Read More

Nakedness and Curvature Strength of Singularities arising in the Higher-Dimensional Spacetimes

Print
PDF
IJCA Proceedings on International Conference on Benchmarks in Engineering Science and Technology 2012
© 2012 by IJCA Journal
ICBEST - Number 4
Year of Publication: 2012
Authors:
Mulkalwar P N
Patil K D

Mulkalwar P N and Patil K D. Article: Nakedness and Curvature Strength of Singularities arising in the Higher-Dimensional Spacetimes. IJCA Proceedings on International Conference on Benchmarks in Engineering Science and Technology 2012 ICBEST(4):24-30, October 2012. Full text available. BibTeX

@article{key:article,
	author = {Mulkalwar P N and Patil K D},
	title = {Article: Nakedness and Curvature Strength of Singularities arising in the Higher-Dimensional Spacetimes},
	journal = {IJCA Proceedings on International Conference on Benchmarks in Engineering Science and Technology 2012},
	year = {2012},
	volume = {ICBEST},
	number = {4},
	pages = {24-30},
	month = {October},
	note = {Full text available}
}

Abstract

In the present work we examine the nature of central singularity forming in the higher dimensional spherically symmetric collapse of dust cloud and it is shown that this is always a strong naked singularity where gravitational tidal forces diverge powerfully. An important consequence is that the nature of the naked singularity forming in the dust collapse turns out to be stable against the perturbations in dimension of the spacetime. Thus we have shown that the higher dimensional gravitational collapse of dust violates the cosmic censorship conjecture.

References

  • R. Penrose, Gravitational collapse: The role of general relativity, Riv. NuovoCimento1, 252 (1969).
  • R. P. A. C. Newman, Strength of naked singularities in Tolman-Bondispacetimes, Class. Quantum Grav. 3, 527 (1986).
  • D. Christodoulou, Violation of cosmic censorship in gravitational collapse of dust cloud, Comm. Math. Phys. 93, 171 (1984).
  • P. S. Joshi and I. H. Dwivedi, Naked singularities in spherically symmetric inhomogeneous Tolman-Bondi dust collapse, Phys. Rev. D 47, 5357 (1993).
  • B. Waugh and K. Lake, Strength of shell-focusing singularities in marginally bound collapsing self-similar Tolmanspacetimes, Phys. Rev. D 38, 1315 (1988).
  • S. S. Deshingkar, P. S. Joshi and I. H. Dwivedi, Physical nature of the central singularity in spherical collapse, Phys. Rev. D 59, 044018 (1999).
  • Sanjay Jhigan, P. S. Joshi and T. P. Singh, The final fate of spherical inhomogeneous dust collapse:II. , Class. Quantum Grav. 13, 3057 (1996).
  • Kishor D. Patil, R. V. Saraykar and S. H. Ghate, Naked singularities and structure of geodesics in higher dimensional dust collapse, Indian Journal of Pure and Applied Mathematics, Vol. 33, No. 3, 379 (2002).
  • S. G. Ghosh and Beesham, Naked singularities in higher dimensional inhomogeneous dust collapse, Class. Quantum Grav. 17, 4959 (2000).
  • A. Sil and S. Chatterjee, Naked singularities in a self- similar TolmanBondispacetime, Gen. Relativ. Grav. 28,No. 7 (1996).
  • B. C. Nolan, Strength of singularities in spherical symmetry, Phy. Rev. D 60 (1999).
  • C. J. S. Clarke and A. Krolak, Condition for the occurrence of strong curvature singularities, J. Geom. Phys. 2, 127 (1985).
  • F. J. Tipler, Singularities in conformally flat spacetime, Phys. Lett . A 64, 8 (1977).