2021
DOI: 10.48550/arxiv.2107.02562
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(In)stability of the charged massive scalar field on the Kerr-Newman spacetime

H. S. Vieira,
V. B. Bezerra,
C. R. Muniz

Abstract: In this work, we investigate the quasibound states of charged massive scalar fields in the Kerr-Newman black hole spacetime by using a new method recently developed, which uses the polynomial conditions of the Heun functions. We calculate the resonant frequencies related to the spectrum of quasibound states and the wave functions, and also we analyze the (in)stability of the system. These results are particularized to the cases of the Schwarzschild and Kerr black holes. Additionally, we compare our analytical … Show more

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Cited by 3 publications
(3 citation statements)
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“…In principle, the occurence of superradiance does not necessarily imply that the spacetime itself will be destabilized. Nonetheless, BH superradiant instabilities do appear when these waves are confined in negative potential wells [29][30][31][32][33][34][35][36][37][38] or when the boundary conditions are altered [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. Under such circumstances, perturbations grow exponentially and lead to the formation of BH bombs [56].…”
Section: Introductionmentioning
confidence: 99%
“…In principle, the occurence of superradiance does not necessarily imply that the spacetime itself will be destabilized. Nonetheless, BH superradiant instabilities do appear when these waves are confined in negative potential wells [29][30][31][32][33][34][35][36][37][38] or when the boundary conditions are altered [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. Under such circumstances, perturbations grow exponentially and lead to the formation of BH bombs [56].…”
Section: Introductionmentioning
confidence: 99%
“…The mechanism of reflection toward a black hole is commonly created by the rest mass of the perturbing field naturally, and either artificially by a reflector surface such as a mirror or cavity, see Refs. [33]- [42]. The asymptotically Anti-desitter (AdS) spacetime is also a natural bed to make the reflecting boundary for waves since the spatial infinity is at a finite distance causally, resulting in the formation of a time-like boundary [43]- [48].…”
Section: Introductionmentioning
confidence: 99%
“…The terminology of the BH bomb, in essence, comes from the seminal paper [39] because the radiation trapped between EH and mirror, eventually, will reach a point where the mirror will break, and leads to expelling the radiation outward just like a bomb [40,41]. Although, within the mentioned scenario, the reflecting boundary condition is artificially provided by a mirror, it is well-known that the Anti-de-sitter (AdS) spacetime as well as the massive scalar field, are able to play such a role naturally [42]- [55] (see also references therein). One of the interesting theoretical consequences of the superradiant instabilities is the possibility of the appearance of the novel BH solutions with additional parameters violating the no-hair theorem [56]- [60].…”
Section: Introductionmentioning
confidence: 99%