On the quantization of the extremal Reissner-Nordstrom black hole
- URL: http://arxiv.org/abs/2003.07173v2
- Date: Thu, 1 Oct 2020 13:06:31 GMT
- Title: On the quantization of the extremal Reissner-Nordstrom black hole
- Authors: C. Corda, F. Feleppa and F. Tamburini
- Abstract summary: We calculate the gravitational potential, the Schr"odinger equation and the exact solutions of the energy levels of the gravitational collapse.
By using the concept of BH effective state, we describe the quantum gravitational potential, the mass spectrum and the energy spectrum for the extremal RNBH.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Following Rosen's quantization rules, two of the Authors (CC and FF) recently
described the Schwarzschild black hole (BH) formed after the gravitational
collapse of a pressureless "star of dust" in terms of a "gravitational hydrogen
atom". Here we generalize this approach to the gravitational collapse of a
charged object, namely, to the geometry of a Reissner-Nordstrom BH (RNBH) and
calculate the gravitational potential, the Schr\"odinger equation and the exact
solutions of the energy levels of the gravitational collapse. By using the
concept of BH effective state, previously introduced by one of us (CC), we
describe the quantum gravitational potential, the mass spectrum and the energy
spectrum for the extremal RNBH. The area spectrum derived from the mass
spectrum finds agreement with a previous result by Bekenstein. The stability of
these solutions, described with the Majorana approach to the Archaic Universe
scenario, show the existence of oscillatory regimes or exponential damping for
the evolution of a small perturbation from a stable state.
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