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Potential Evolution from Superradiant Instability to Stability in RN-f(R) Gravity Black Holes

29 July 2024, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This paper investigates the potential evolution of RN-f(R) gravity black holes from superradiant instability to stability. By comparing the superradiant instability in black holes with the behavior of interface bound states in superconductors, we derive conditions under which superradiant instability can transition to stability. We employ the mathematical framework and formulas from the study of shot noise in superconducting tunnel junctions to illustrate the similarities and derive the conditions for the evolution of instability in black holes.

Keywords

f(R) gravity
RN metric
Black hole solutions

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Version History

Jul 29, 2024 Version 1

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License

All Rights Reserved

DOI

10.33774/coe-2024-nk8mf
D O I: 10.33774/coe-2024-nk8mf [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) declare that they have sought and gained approval from the relevant ethics committee/IRB for this research and its publication.

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