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arXiv · 2108.06187

Hawking radiation and black hole gravitational back reaction - A quantum geometrodynamical simplified model

João Marto
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Abstract

The purpose of this paper is to analyse the back reaction problem, between Hawking radiation and the black hole, in a simplified model for the black hole evaporation in the quantum geometrodynamics context. The idea is to transcribe the most important characteristics of the Wheeler-DeWitt equation into a Schr\"odinger's type of equation. Subsequently, we consider Hawking radiation and black hole quantum states evolution under the influence of a potential that includes back reaction. Finally, entropy is estimated as a measure of the entanglement between the black hole and Hawking radiation states in this model.

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João Marto. 2021-08-13. Hawking radiation and black hole gravitational back reaction - A quantum geometrodynamical simplified model. https://doi.org/10.3390/universe7080297

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