Lower bound on the spectral dimension near a black hole

Details Lower bound on the spectral dimension near a black hole Lower bound on the spectral dimension near a black hole

2011-08-23

arxiv.org/abs/1108.4686v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pp, 2 eps figs

Scientific paper

We consider an evaporating Schwarzschild black hole in a framework in which the spectral dimension of spacetime varies continuously from four at large distances to a number smaller than three at small distances, as suggested by various approaches to quantum gravity. We demonstrate that the evaporation stops when the horizon radius reaches a scale at which spacetime becomes effectively 3-dimensional, and argue that an observer remaining outside the horizon cannot probe the properties of the black hole at smaller scales. This result is universal in the sense that it does not depend on the details of the effective dimension as a function of the diffusion time. Observers falling into the black hole can resolve smaller scales, as can external observers in the presence of a cosmological constant. Even in these cases, though, we obtain an absolute bound D>2 on the effective dimension that can be seen in any such attempt to measure the properties of the black hole.

Affiliated with

Also associated with

No associations

Rating

Lower bound on the spectral dimension near a black hole 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 Lower bound on the spectral dimension near a black hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lower bound on the spectral dimension near a black hole will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376858