Quantum features of a non-commutative Schwarzschild black hole

TL;DR

This paper explores the quantum properties of a non-commutative Schwarzschild black hole, analyzing particle creation, evaporation, and constraints on non-commutativity from solar system tests.

Contribution

It presents a novel analysis of quantum effects in a non-commutative gauge gravity Schwarzschild black hole, including particle emission and lifetime calculations.

Findings

Particle creation rates for bosons and fermions estimated.

Black hole evaporation lifetime computed.

Constraints on non-commutative parameter derived from solar-system data.

Abstract

This work aims to present the quantum aspects of a non-commutative gauge gravity formulation of a Schwarzschild-like black hole constructed via the Moyal twist $\partial_t \wedge \partial_\theta$. Particle creation is estimated for bosonic and fermionic fields using the quantum tunneling method, with divergent integrals treated through the residue prescription. Since the surface gravity is well defined for this configuration, the corresponding emission rates and evaporation lifetimes are also computed. In addition, previously reported results in the literature on gauge gravity Schwarzschild black holes are revisited. Finally, we infer constraints on the non-commutative parameter $\Theta$ from solar-system tests.