Eur. Phys. J. C (2012) 72: 2255
https://doi.org/10.1140/epjc/s10052-012-2255-z

Regular Article - Theoretical Physics

Quasinormal modes, stability analysis and absorption cross section for 4-dimensional topological Lifshitz black hole

¹ Escuela de Ingeniería Civil en Obras Civiles, Facultad de Ciencias Físicas y Matemáticas, Universidad Central de Chile, Avenida Santa Isabel 1186, Santiago, Chile
² Universidad Diego Portales, Casilla 298-V, Santiago, Chile
³ Departamento de Ciencias Físicas, Facultad de Ingeniería, Ciencias y Administración, Universidad de La Frontera, Avenida Francisco Salazar 01145, Casilla 54-D, Temuco, Chile

^* e-mail: pgonzalezm@ucentral.cl

Received: 19 August 2012
Revised: 21 October 2012
Published online: 12 December 2012

Abstract

We study scalar perturbations in the background of a topological Lifshitz black hole in four dimensions. We compute analytically the quasinormal modes and from these modes we show that topological Lifshitz black hole is stable. On the other hand, we compute the reflection and transmission coefficients and the absorption cross section and we show that there is a range of modes with high angular momentum which contributes to the absorption cross section in the low frequency limit. Furthermore, in this limit, we show that the absorption cross section decreases if the scalar field mass increases, for a real scalar field mass.