Quantum Portrait of a Black Hole with Pöschl-Teller Potential
arXiv:1403.1422 · doi:10.1007/JHEP05(2014)128
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 Pöschl-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.
arXiv comment12 pages, 1 figure, v2: typos corrected
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