Noncommutative Black Holes

TL;DR

This paper explores how phase-space noncommutativity affects the interior of Schwarzschild black holes, revealing modifications to thermodynamics and quantum properties, including temperature, entropy, and wave function behavior.

Contribution

It introduces a noncommutative quantum cosmology model for black hole interiors, demonstrating how noncommutativity influences thermodynamic and quantum characteristics.

Findings

Hawking temperature depends on momentum noncommutativity

Entropy shows explicit noncommutative dependence

Wave function vanishes in the noncommutative limit

Abstract

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potential function of the corresponding quantum cosmology problem has a local minimum. One deduces the thermodynamics and show that the Hawking temperature and entropy exhibit an explicit dependence on the momentum noncommutativity regime and it is shown that the wave function vanishes in this limit.