Quantum Portrait of a Black Hole with P\"oschl-Teller Potential
High Energy Physics - Theory
2014-06-04 v2 General Relativity and Quantum Cosmology
Abstract
We improve upon the simple model studied by Casadio and Orlandi [JHEP 1308 (2013) 025] for a black hole as a condensate of gravitons. Instead of the harmonic oscillator potential, the P\"oschl-Teller potential is used, which allows for a continuum of scattering states. The quantum mechanical model is embedded into a relativistic wave equation for a complex Klein-Gordon field, and the charge of the field is interpreted as the gravitational charge (mass) carried by the graviton condensate.
Keywords
Cite
@article{arxiv.1403.1422,
title = {Quantum Portrait of a Black Hole with P\"oschl-Teller Potential},
author = {Wolfgang Mück and Giancarlo Pozzo},
journal= {arXiv preprint arXiv:1403.1422},
year = {2014}
}
Comments
12 pages, 1 figure, v2: typos corrected