Schwarzschild-f(R) Black Holes and the Absence of Black Hole Bomb Effect

2024/06/18 by Wen-Xiang Chen, Chen, Wen-Xiang
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2406.12504

openalex publication_date 2024/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we analytically study the superradiant stability of Schwarzschild-f(R) black holes under charged massive scalar perturbation. Using an analytic method based on Descartes' rule of signs, we extend previous methods developed for higher-dimensional Reissner-Nordstrom black holes to the Schwarzschild-f(R) black hole cases. Our results show that Schwarzschild-f(R) black holes are superradiantly stable under charged massive scalar perturbation, implying the absence of the black hole bomb effect.

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