GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants

TL;DR

This paper demonstrates that GUP-induced entropy corrections are universal across all black objects and lead to the prediction of black hole remnants, with explicit calculations for various black hole types.

Contribution

It establishes the universality of GUP-corrected entropy-area relation for all black objects and shows it results in black hole remnants.

Findings

GUP corrections produce remnants for all studied black objects.

Full GUP-corrected entropy relation is necessary to predict remnants.

The corrections include a logarithmic term consistent with quantum gravity approaches.

Abstract

Based on the universality of the entropy-area relation of a black hole, and the fact that the generalized uncertainty principle (GUP) adds a logarithmic correction term to the entropy in accordance with most approaches to quantum gravity, we argue that the GUP-corrected entropy-area relation is universal for all black objects. This correction to the entropy produces corrections to the thermodynamics. We explicitly calculate these corrections for three types of black holes: Reissner--Nordstr\"{o}m, Kerr, and charged AdS black holes, in addition to spinning black rings. In all cases we find that they produce a remnant. Even though the GUP-corrected entropy-area relation produces the logarithmic term in the series expansion, we need to use the full form of the GUP-corrected entropy-area relation to get remnants for these black holes.