Scalar Perturbations of Charged Dilaton Black Holes

Abstract

We have studied the scalar perturbation of static charged dilaton black holes in 3+1 dimensions. The black hole considered here is a solution to the low-energy string theory in 3+1 dimensions. The quasinormal modes for the scalar perturbations are calculated using the third order WKB method. The dilaton coupling constant has a considerable effect on the values of quasi normal modes. It is also observed that there is a linear relation between the quasi normal modes and the temperature for large black holes.

Stability and Quasi Normal Modes of Charged Born–Infeld Black Holes

“…On the other hand, Im ω approaches a fixed value for larger l. This is similar to what was observed in the static charged dilaton black hole in Fernando and Arnold (2004).…”

“…This is similar to the behavior observed for charged scalar dilaton black holes in Fernando and Arnold (2004).…”

“…This is the case for almost all black holes in 3 + 1 dimensions. In 2 + 1 dimensions, there are two black hole solutions (BTZ black hole (Birmingham, 2001) and the charged dilaton black hole (Fernando, 2004)) which can be solved to give exact values of QNM's. In five dimensions, exact values are obtained for vector perturbations by Nunez and Starinets (2003).…”

“…This approach has been applied to compute QNM's of many black holes. Scalar perturbations of charged dilaton black hole (Fernando and Arnold, 2004), charged scalar perturbations of Reissner-Nordstrom black hole ( Konoplya, 2002b) and scalar perturbations of acoustic black holes (Berti et al, 2004) are a few of such studies.…”

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

“…Quasinormal modes of dilatonic black holes in 3 + 1 dimensions can be see in Refs. [22,23,24] Determination of QNMs for a specific geometry implies solving the field equations for different types of perturbations (scalar, fermionic, vectorial, etc. ), with suitable boundary conditions that reflect the fact that this geometry describes a black hole.…”