Perturbations of blackp-branes

Abstract

We consider black p-brane solutions of the low energy string action, computing scalar perturbations. Using standard methods, we derive the wave equations obeyed by the perturbations and treat them analytically and numerically. We have found that tensorial perturbations obtained via a gauge-invariant formalism leads to the same results as scalar perturbations. No instability has been found. Asymptotically, these solutions typically reduce to a AdS (p+2) × S (8−p) space, which, in the framework of Maldacena's conjecture, can be regarded as a gravitational dual to a conformal field

Gravitational stability of simply rotating Myers-Perry black holes: Tensorial perturbations

“…In the range of parameters of slow Frobenius convergence, we use the WKB approximation [24]. The WKB formula (10) was effectively used in a lot of papers [26], and here the WKB accuracy will be checked with the help of the Frobenius method. The 6th order WKB formula reads…”

Stability analysis and area spectrum of three-dimensional Lifshitz black holes

“…Also, the study of the quasinormal spectrum gives information about the stability aspects of black hole solutions using probe classical matter fields (scalar, electromagnetic, spinorial) evolving in the geometry without backreacting on the spacetime background. Much has been done in that direction, not only in four dimensions [9] [10], but also in two [11], and in more than four [12].…”

The AdS/CFT relation, quasi-normal modes and applications

“…As shown in detail in our previous work [17], the black p-branes solution can be regarded as black holes with extended event horizons. So, we can apply the well-known perturbations methods of black holes in general relativity to the present case, in order to obtain some information about its structure and stability.…”

“…In order to study the stability of black p-branes we obtain the scalar quasi-normal spectrum. In the work [17] we have applied two different numerical approaches, the WKB technique and the time-domain approach. Here we will discuss only the time-domain numerical results, since we have a good agreement between the methods.…”