The isocharge phase transition signature in quasi-normal modes of charged anti-de Sitter black holes

Document Type : Full length research Paper

Authors

1 Department of Physics, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran

2 Center for Research on Laser and Plasma, Shahid Chamran University of Ahvaz, Ahvaz, Iran

Abstract

In this paper, we aim to investigate the relationship between the thermodynamic phase of a charged anti-de Sitter black hole and the dynamic behavior of scalar perturbations around it. To achieve this goal, we first examine the thermodynamics of the charged anti-de Sitter black hole and analyze the isocharge phase transition between small and large black holes. Next, by considering a scalar field within the background of black hole, we solve the Klein-Gordon equation using the shooting method to determine the frequency of quasi-normal modes. Finally, we compare the behavior of the frequency of quasi-normal modes in the small and large black hole phases, demonstrating the distinct slope of the imaginary part versus the real part curve in these phases. This suggests that the thermodynamic phase and phase transition of the black hole can be identified through the dynamic properties of scalar perturbations around it.

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References

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Journal of Research on Many-body Systems
Volume 14, Issue 3 - Serial Number 42
autumn 2024
November 2024
Pages 54-65

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History

  • Receive Date: 05 April 1403
  • Revise Date: 29 June 1403
  • Accept Date: 16 July 1403

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