QUASINORMAL MODES AND STABILITY ANALYSIS FOR Z=4 TOPOLOGICAL BLACK HOLE IN 4+1-DIMENSIONAL HORAVA-LIFSHITZ GRAVITY
QUASINORMAL MODES AND STABILITY ANALYSIS FOR Z=4 TOPOLOGICAL BLACK HOLE IN 4+1-DIMENSIONAL HORAVA-LIFSHITZ GRAVITY
Authors
Becar, Ramon
Gonzalez, P. A.
Vasquez, Yerko
Gonzalez, P. A.
Vasquez, Yerko
Authors
Date
Datos de publicaciĆ³n:
INTERNATIONAL JOURNAL OF MODERN PHYSICS D,Vol.22,,2013
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Abstract
We study the stability of z = 4 topological black hole in 4 + 1-dimensional Horava-Lifshitz gravity against scalar perturbations by analyzing the quasinormal modes (QNMs). It is possible to distinguish two cases for which the black hole is stable. The first one occurs when p + Q > 0 and QNMs are characterized by a real and imaginary part, meaning that the field has oscillatory modes but with Im(omega) < 0; therefore, it is stable. While in the second case p + Q < 0, QNMs are purely imaginary (Im(.) < 0) and then absolutely damped.