A trapped surface in the higher-dimensional self-similar Vaidya spacetime

Details A trapped surface in the higher-dimensional self-similar Vaidya spacetime A trapped surface in the higher-dimensional self-similar Vaidya spacetime

2011-08-17

arxiv.org/abs/1108.3471v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 5 figures

Scientific paper

We investigate a trapped surface and naked singularity in a $D$-dimensional Vaidya spacetime with a self-similar mass function. A trapped surface is defined as a closed spacelike $(D-2)$-surface which has negative both null expansions. There is no trapped surface in the Minkowski spacetime. However, in a four-dimensional self-similar Vaidya spacetime, Bengtsson and Senovilla considered non-spherical trapped surfaces and showed that a trapped surface can penetrate into a flat region, if and only if the mass function rises fast enough [I. Bengtsson and J. M. M. Senovilla, Phys. Rev. D \textbf{79}, 024027 (2009).]. We apply this result to a $D$-dimensional spacetime motivated by the context of large extra dimensions or TeV-scale gravity. In this paper, similarly to Bengtsson and Senovilla's study, we match four types of $(D-2)$-surfaces and show that a trapped surface extended into the flat region can be constructed in the $D$-dimensional Vaidya spacetime, if the increasing rate of the mass function is greater than 0.4628. Moreover, we show that the maximum radius of the trapped surface constructed here approaches the Schwarzschild-Tangherlini radius in the large $D$ limit. Also, we show that there is no naked singularity, if the spacetime has the trapped surface constructed here.

Affiliated with

Also associated with

No associations

Rating

A trapped surface in the higher-dimensional self-similar Vaidya spacetime 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 A trapped surface in the higher-dimensional self-similar Vaidya spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A trapped surface in the higher-dimensional self-similar Vaidya spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-540517