Physics
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.2972n&link_type=abstract
Physical Review D (Particles and Fields), Volume 38, Issue 10, 15 November 1988, pp.2972-2978
Physics
35
Fundamental Problems And General Formalism, Black Holes, Relativity And Gravitation, Exact Solutions
Scientific paper
The formation of a naked singularity during the collapse of a finite object would pose a serious difficulty for the theory of general relativity. The hoop conjecture suggests that this possibility will never happen provided the object is sufficiently compact (<~M) in all of its spatial dimensions. But what about the collapse of a long, nonrotating, prolate object to a thin spindle\? Such collapse leads to a strong singularity in Newtonian gravitation. Here we construct an analytic sequence of momentarily static, prolate, and oblate dust spheroids in full general relativity. In the limit of large eccentricity the solutions all become singular. However, when the spheroids are sufficiently large there are no apparent horizons, lending support to the hoop conjecture. These solutions thus suggest that naked singularities with matter could possibly form in asymptotically flat spacetimes.
Nakamura Takashi
Shapiro Stuart L.
Teukolsky Saul A.
No associations
LandOfFree
Naked singularities and the hoop conjecture: An analytic exploration does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Naked singularities and the hoop conjecture: An analytic exploration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Naked singularities and the hoop conjecture: An analytic exploration will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1827901