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Quasinormal modes in a time-dependent black hole background

Cheng-Gang Shao and Bin Wang*

Elcio Abdalla

Ru-Keng Su

  • Department of Physics, Fudan University, Shanghai 200433, People's Republic of China

  • Instituto de Fisica, Universidade de Sao Paulo, CP 66.318, CEP 05315-970, Sao Paulo, Brazil

  • China Center of Advanced Science and Technology (World Laboratory), P.B. Box 8730, Beijing 100080, People's Republic of China
  • Department of Physics, Fudan University, Shanghai 200433, People's Republic of China

  • *Electronic address: binwang@fudan.ac.cn
  • Electronic address: eabdalla@fma.if.usp.br
  • Electronic address: rksu@fudan.ac.cn

Phys. Rev. D 71, 044003 – Published 2 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.044003

Abstract

We have studied the evolution of the massless scalar field propagating in a time-dependent charged Vaidya black hole background. A generalized tortoise coordinate transformation was used to study the evolution of the massless scalar field. It is shown that, for the slowest damped quasinormal modes, the approximate formulas in the stationary Reissner-Nordström black hole turn out to be a reasonable prescription, showing that results from quasinormal mode analysis are rather robust.

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