CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

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

Published on October 2012 by Mulkalwar P N, Patil K D
journal_cover_thumbnail

International Conference on Benchmarks in Engineering Science and Technology 2012
Foundation of Computer Science USA
ICBEST - Number 4
October 2012
Authors: Mulkalwar P N, Patil K D
a2672d9d-29b7-4007-9cf0-5936192e2ec0

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

@article{
author = { Mulkalwar P N, Patil K D },
title = { Nakedness and Curvature Strength of Singularities arising in the Higher-Dimensional Spacetimes },
journal = { International Conference on Benchmarks in Engineering Science and Technology 2012 },
issue_date = { October 2012 },
volume = { ICBEST },
number = { 4 },
month = { October },
year = { 2012 },
issn = 0975-8887,
pages = { 24-30 },
numpages = 7,
url = { /proceedings/icbest/number4/8713-1017/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Benchmarks in Engineering Science and Technology 2012
%A Mulkalwar P N
%A Patil K D
%T Nakedness and Curvature Strength of Singularities arising in the Higher-Dimensional Spacetimes
%J International Conference on Benchmarks in Engineering Science and Technology 2012
%@ 0975-8887
%V ICBEST
%N 4
%P 24-30
%D 2012
%I International Journal of Computer Applications
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
  1. R. Penrose, Gravitational collapse: The role of general relativity, Riv. NuovoCimento1, 252 (1969).
  2. R. P. A. C. Newman, Strength of naked singularities in Tolman-Bondispacetimes, Class. Quantum Grav. 3, 527 (1986).
  3. D. Christodoulou, Violation of cosmic censorship in gravitational collapse of dust cloud, Comm. Math. Phys. 93, 171 (1984).
  4. P. S. Joshi and I. H. Dwivedi, Naked singularities in spherically symmetric inhomogeneous Tolman-Bondi dust collapse, Phys. Rev. D 47, 5357 (1993).
  5. B. Waugh and K. Lake, Strength of shell-focusing singularities in marginally bound collapsing self-similar Tolmanspacetimes, Phys. Rev. D 38, 1315 (1988).
  6. 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).
  7. Sanjay Jhigan, P. S. Joshi and T. P. Singh, The final fate of spherical inhomogeneous dust collapse:II. , Class. Quantum Grav. 13, 3057 (1996).
  8. 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).
  9. S. G. Ghosh and Beesham, Naked singularities in higher dimensional inhomogeneous dust collapse, Class. Quantum Grav. 17, 4959 (2000).
  10. A. Sil and S. Chatterjee, Naked singularities in a self- similar TolmanBondispacetime, Gen. Relativ. Grav. 28,No. 7 (1996).
  11. B. C. Nolan, Strength of singularities in spherical symmetry, Phy. Rev. D 60 (1999).
  12. C. J. S. Clarke and A. Krolak, Condition for the occurrence of strong curvature singularities, J. Geom. Phys. 2, 127 (1985).
  13. F. J. Tipler, Singularities in conformally flat spacetime, Phys. Lett . A 64, 8 (1977).
Index Terms

Computer Science
Information Sciences

Keywords

Gravitational Collapse Naked Singularity Block Hole Cosmic Censorship Hypothesis