Quasinormal modes and stability criterion of dilatonic black holes in1+1and4+1dimensions

Abstract

We study the stability of black holes that are solutions of the dilaton gravity derived from stringtheoretical models in two and five dimensions against to scalar field perturbations, using the Quasinormal Modes (QNMs) approach. In order to find the QNMs corresponding to a black hole geometry, we consider perturbations described by a massive scalar field non-minimally coupled to gravity. We find that the QNM's frequencies turn out to be pure imaginary leading to purely damped modes, that is in agreement with the literature of dilatonic black holes. Our result exhibits the unstable behavior of the considered geometry against the scalar perturbations. We consider both the minimal coupling case, i.e., for which the coupling parameter ζ vanishes, and the case ζ = .

Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions

“…These facts illustrate that even in two dimensions the Klein-Gordon and Dirac fields react in a different way to the gravitational fields, as explained in Refs. [39]- [42].…”

“…Zelnikov [38] calculates exactly the QNF of the Klein-Gordon field propagating in a family of two-dimensional black holes. Becar et al [39] compute exactly the QNF of the Klein-Gordon field minimally coupled to scalar curvature in the uncharged Witten black hole [43,44] (see also [40]). For this black hole, also Becar et al [41] calculate exactly the QNF of the massless Dirac field and in [42] these results are extended to the massive Dirac field.…”

Fermionic greybody factors of two and five-dimensional dilatonic black holes

“…A similar work was carried out in [18] using a different sequence duality transformations, this time in four dimensions and leading to the same expressions for the entropy for two-dimensional black holes. Besides, the issue about classical and quantum stability of two dimensional and five dimensional dilatonic black holes was carried out, for instance in [19][20][21][22][23][24].…”

Electromagnetic quasinormal modes of D-dimensional black holes II

“…In D-dimensional spacetimes we know some fields for which an exact computation of their QNMs is possible, see for example [34][35][36][37][38][39][40] and references therein. We can expect that the QN frequencies calculated exactly may play an important role in future research.…”

“…In other the QN frequencies for low multipole number l and mode number n were computed by using numerical and semi-analytical methods [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. Also, there are higher dimensional backgrounds for which their QN frequencies were calculated exactly [34][35][36][37][38][39][40].…”