Investigación

Quasinormal frequencies of the Dirac field in the massless topological black hole

A. López–Ortega

Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada, Unidad Legaria, Instituto Politécnico Nacional, Calzada Legaria # 694. Colonia Irrigación, Miguel Hidalgo México, D.F., 11500 México.

Recibido el 1 de septiembre de 2009
Aceptado el 1 de diciembre de 2009

Abstract

Motivated by the recent computations of the quasinormal frequencies of higher dimensional black holes, we exactly calculate the quasinormal frequencies of the Dirac field, propagating in D–dimensional (D > 4) massless topological black hole. From the exact values of the quasinormal frequencies for the fermion and boson fields we discuss whether the recently proposed bound on the relaxation time of a perturbed thermodynamical system is satisfied in the D–dimensional massless topological black hole. Also we study the consequences of these results.

Keywords: Quasinormal modes; massless topological black hole; Dirac field; relaxation time.

Resumen

Motivados por el cálculo de las frecuencias cuasinormales de agujeros negros cuyo número de dimensiones D es mayor o igual a cuatro, en el presente artículo calculamos exactamente las frecuencias cuasinormales del campo de Dirac moviéndose en el agujero negro topológico de masa cero con D > 4. Usando los valores exactos de las frecuencias cuasinormales para los fermiones y bosones, discutimos si el límite, recientemente propuesto, sobre el tiempo de relajamiento de un sistema termodinámico perturbado se satisface en el agujero negro topológico de masa cero con D > 4. Adicionalmente estudiamos algunas consecuencias de estos resultados.

Descriptores: Modos cuasinormales; agujero negro topológico de masa cero; campo de Dirac; tiempo de relajamiento.

PACS: 04.70.Bw; 04.50.Gh; 04.70.Dy

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Acknowledgments

I thank Dr. C. E. Mora Ley and A. Tellez Felipe for their interest in this paper. This work was supported by CONACYT México, SNI México, EDI–IPN, COFAA–IPN, and Research Projects SIP–20090952 and SIP–20091344.

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