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

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 Schrödinger'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.

19 pages, 5 figures. Version accepted for publication in Universe, MDPI

References in corpus (3)

• Page Curve for an Evaporating Black Hole
• The Black Hole Information Problem
• Tunneling out of a time-dependent well

Cited by in corpus (3)

• Frequency shift of light emitted from growing and shrinking black holes
• Operator Ordering in the Relativistic Quantization: Specific Heat in the Rindler Frame
• A two-mode model for black hole evaporation and information flow