Quasiclassical mass spectrum of the black hole model with selfgravitating dust shell

Details Quasiclassical mass spectrum of the black hole model with selfgravitating dust shell Quasiclassical mass spectrum of the black hole model with selfgravitating dust shell

1998-08-07

arxiv.org/abs/gr-qc/9808021v1

Phys.Rev. D59 (1999) 044023

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 8 figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.044023

We consider a quantum mechanical black hole model introduced in {\it Phys.Rev.}, {\bf D57}, 1118 (1998) that consists of the selfgravitating dust shell. The Schroedinger equation for this model is a finite difference equation with the shift of the argument along the imaginary axis. Solving this equation in quasiclassical limit in complex domain leads to quantization conditions that define discrete quasiclassical mass spectrum. One of the quantization conditions is Bohr-Sommerfeld condition for the bound motion of the shell. The other comes from the requirement that the wave function is unambiguously defined on the Riemannian surface on which the coefficients of Schroedinger equation are regular. The second quantization condition remains valid for the unbound motion of the shell as well, and in the case of a collapsing null-dust shell leads to $m\sim\sqrt{k}$ spectrum.

Affiliated with

Also associated with

No associations

Rating

Quasiclassical mass spectrum of the black hole model with selfgravitating dust shell 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 Quasiclassical mass spectrum of the black hole model with selfgravitating dust shell, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasiclassical mass spectrum of the black hole model with selfgravitating dust shell will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616965