Gauss-Bonnet black holes in (2+1) dimensions: Perturbative aspects and entropy features

TL;DR

This paper explores the stability, quasinormal modes, hydrodynamical behavior, and entropy corrections of (2+1)-dimensional Gauss-Bonnet black holes, providing insights into their dynamical and thermodynamical properties.

Contribution

It presents a detailed analysis of perturbations, stability, and entropy features of Gauss-Bonnet black holes in (2+1) dimensions, including new calculations of quasinormal modes and entropy corrections.

Findings

The black hole geometry is dynamically stable under scalar and spinorial perturbations.

Quasinormal modes depend on the coupling constant, affecting the black hole's response.

Entropy bounds and semiclassical corrections to entropy are explicitly calculated.

Abstract

We investigate some aspects of the $(2+1)$-dimensional Gauss-Bonnet black hole proposed in [1][2]. The perturbations of scalar and massless spinorial fields are studied suggesting the dynamical stability of the geometry. The field evolution is analyzed calculating the quasinormal modes for different parameters and exploring the influence of the coupling constant of the theory. The hydrodynamical modes are also obtained in the small coupling limit. Furthermore, the entropy bound and the dominant semiclassical correction to the black hole entropy are calculated.