Collapsing Shells and the Isoperimetric Inequality for Black Holes

Details Collapsing Shells and the Isoperimetric Inequality for Black Holes Collapsing Shells and the Isoperimetric Inequality for Black Holes

1997-01-13

arxiv.org/abs/hep-th/9701049v1

Class.Quant.Grav.14:2905-2915,1997

Physics

High Energy Physics

High Energy Physics - Theory

16 pages plain TEX

Scientific paper

10.1088/0264-9381/14/10/016

Recent results of Trudinger on Isoperimetric Inequalities for non-convex bodies are applied to the gravitational collapse of a lightlike shell of matter to form a black hole. Using some integral identities for co-dimension two surfaces in Minkowski spacetime, the area $A$ of the apparent horizon is shown to be bounded above in terms of the mass $M$ by the $16 \pi G^2 M^2$, which is consistent with the Cosmic Censorship Hypothesis. The results hold in four spacetime dimensions and above.

Affiliated with

Also associated with

No associations

Rating

Collapsing Shells and the Isoperimetric Inequality for Black Holes 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 Collapsing Shells and the Isoperimetric Inequality for Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapsing Shells and the Isoperimetric Inequality for Black Holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-24737