Noncommutative black holes

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 parameter, η. Furthermore, the t r 0 singularity is analysed in the noncommutative regime and it is shown that the wave function vanishes in this limit. © 2010 IOP Publishing Ltd.