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

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.

27 pages, 4 figures

References in corpus (3)

• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Testing Gravity with Quasi Periodic Oscillations from accreting Black Holes: the Case of Einstein-Dilaton-Gauss-Bonnet Theory
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes

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• Regular BTZ black holes from an infinite tower of corrections
• Scalar field instabilities in charged BTZ black holes
• Quasinormal modes of charged BTZ black holes
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
• Lower dimensional black holes in nonlinear electrodynamics: causal structure and scalar perturbations