Towards Noncommutative Quantum Black Holes
J.C. Lopez-Dominguez, O. Obregon, C. Ramirez, M. Sabido
TL;DR
This paper explores noncommutative black holes by extending classical models to noncommutative minisuperspace, analyzing their thermodynamics, and calculating modified Hawking temperature and entropy.
Contribution
It introduces a noncommutative framework for black hole models using a diffeomorphism to cosmological models and computes their thermodynamic properties.
Findings
Derived Hawking temperature for noncommutative black holes
Calculated entropy modifications due to noncommutativity
Established a generalized noncommutative black hole thermodynamics
Abstract
In this paper we study noncommutative black holes. We use a diffeomorphism between the Schwarzschild black hole and the Kantowski-Sachs cosmological model, which is generalized to noncommutative minisuperspace. Through the use of the Feynman-Hibbs procedure we are able to study the thermodynamics of the black hole, in particular, we calculate the Hawking's temperature and entropy for the noncommutative Schwarzschild black hole.
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