Time evolution of spinor perturbations in regular black holes

O. Pavel Fernández Piedra, J. Bernal Castillo, F. Sosa Núñez and Y. Jiménez Santana

Grupo de Estudios Avanzados, Universidad de Cienfuegos, Carretera a Rodas, Cuatro Caminos, s/n. Cienfuegos, Cuba. e-mail: opavel@ucf.edu.cu; jbernal@ucf.edu.cu; fsosa@ucf.edu.cu; yjsantana@ucf.edu.cu

Received 17 March 2015; ]]> accepted 29 June 2015

Abstract

In this report we present results concerning the study of complete time evolution of massless fermion perturbations propagating in several four dimensional regular black hole space-times. The black hole solution arises from coupling gravity with external matter sources, like nonlinear electrodynamics or some phantom fields. After numerical integration we obtain the time evolution profiles for fermion fields in this space-times. By fitting the numerical data, we compute the quasinormal frequencies that characterize the test field evolution at intermediary times, and for late times, we find power law tails, in strong similarity with usual results for non regular black holes. Quasinormal modes was also investigated using a WKB approach at six order beyond the eikonal limit, obtaining a good correspondence with the numerical calculated frequencies.

Keywords: Regular black hole; spinor perturbations; Dirac fields.

PACS: 02.30Gp; 03.65ge

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