Appearance of the central singularity in spherical collapse

S. S. Deshingkar, P. S. Joshi, and I. H. Dwivedi
Phys. Rev. D 65, 084009 – Published 19 March 2002
PDFExport Citation

Abstract

We analyze here the structure of nonradial nonspacelike geodesics terminating in the past at a naked singularity formed as the end state of inhomogeneous dust collapse. The spectrum of outgoing nonspacelike geodesics is examined analytically. The local and global visibility of the singularity is also examined by integrating numerically the null geodesics equations. The possible implications of the existence of such families for the appearance of a star in the late stages of gravitational collapse are considered. It is seen that the outgoing nonradial geodesics give an appearance to the naked central singularity like that of an expanding ball whose radius reaches a maximum before the star goes within its apparent horizon. The radiated energy (along the null geodesics), however, is shown to decay very sharply in the neighborhood of the singularity. Thus the total energy escaping via nonradial null geodesics from the naked central singularity vanishes in the scenario considered here.

  • Received 16 November 2001

DOI:https://doi.org/10.1103/PhysRevD.65.084009

©2002 American Physical Society

Authors & Affiliations

S. S. Deshingkar*

  • Raman Research Institute, C. V. Raman Avenue, Sadashivanagar, Bangalore 560 080, India

P. S. Joshi and I. H. Dwivedi

  • Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

  • *Electronic address: shrir@rri.res.in
  • Electronic address: psj@tifr.res.in
  • Permanent address: 21 Ballabh Vihar, Dayalbagh, Agra, India. Electronic address: idwivedi@sancharnet.in

References (Subscription Required)

Click to Expand
Issue

Vol. 65, Iss. 8 — 15 April 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×