Abstract
We improve upon the simple model studied by Casadio and Orlandi [JHEP 08 (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.
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Mück, W., Pozzo, G. Quantum portrait of a black hole with Pöschl-Teller potential. J. High Energ. Phys. 2014, 128 (2014). https://doi.org/10.1007/JHEP05(2014)128
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DOI: https://doi.org/10.1007/JHEP05(2014)128