Quantum Portrait of a Black Hole with Pöschl-Teller Potential

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.

12 pages, 1 figure, v2: typos corrected

References in corpus (1)

• Suppressing Quantum Fluctuations in Classicalization

Cited by in corpus (5)

• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Black holes as self-sustained quantum states, and Hawking radiation
• Thermal corpuscular black holes
• Effective metric outside bootstrapped Newtonian sources
• Quantum post-Newtonian theory for corpuscular Black Holes