Asymptotic quasinormal modes of string-theoretical d-dimensional black holes

Abstract

We compute the quasinormal frequencies of d-dimensional spherically symmetric black holes with leading string α′ corrections for tensorial gravitational perturbations in the highly damped regime. We solve perturbatively the master differential equation and we compute the monodromies of the master perturbation variable (analytically continued to the complex plane) in different contours, in order to obtain the quasinormal mode spectra. We proceed analogously for the quasinormal modes of test scalar fields. Differently than in Einstein gravity, we obtain distinct results for the two cases.

Ringing of rotating black holes in higher-derivative gravity

“…The corrections to the QNM frequencies of nonrotating black holes have been obtained in a number of theories, including dynamical Chern-Simons gravity [38,39], Einstein-dilaton-Gauss-Bonnet gravity [40,41], and theories with quartic [33,42] and cubic [18] curvature terms, among other models [43][44][45][46]. In addition, theoryindependent approaches were studied in [42,47,48], while eikonal QNMs beyond GR were investigated in [49][50][51].…”

Singularities of regular black holes and the monodromy method for asymptotic quasinormal modes*

“…where is a removable singularity belonging to the first type above. Moreover, it is easy to verify that this model meets the dominant energy condition (DEC) [52].…”

“…( 5) and (8). Here, "physical" implies that the RBHs must obey the DEC [52]. Instead of the traditional method of selecting well-behaved [5,36], we start with the curvature invariants Eqs.…”

Gravitational ringing of rotating black holes in higher-derivative gravity

“…The corrections to the QNM frequencies of nonrotating black holes have been obtained in a number of theories, including dynamical Chern-Simons gravity [38,39], Einstein-dilaton-Gauss-Bonnet gravity [40,41], and theories with quartic [33,42] and cubic [18] curvature terms, among other models [43][44][45][46]. In addition, theoryindependent approaches were studied in [42,47,48], while eikonal QNMs beyond GR were investigated in [49][50][51].…”