Superradiance and Quasinormal Modes of Massive Scalar Fields around Kerr Black Holes in Einstein-Maxwell-Dilaton-Axion Theory with Perfect Fluid Dark Matter

Abstract

We investigate the dynamics of massive scalar fields around Kerr black holes in the Einstein-Maxwell-dilaton-axion (EMDA) theory, incorporating the effects of perfect fluid dark matter (PFDM), characterized by the dilaton parameter $r_2$ and the PFDM parameter $\lambda$. These parameters modify both the ergosphere and the effective potential experienced by the scalar field. Using the asymptotic matching method, we compute superradiant amplification factors, while quasinormal mode (QNM) frequencies are obtained via the asymptotic iteration method (AIM). Our results reveal contrasting effects: increasing $r_2$ enhances superradiance and leads to higher QNM frequencies with greater damping, whereas increasing $\lambda$ suppresses superradiance and reduces QNM frequencies with weaker damping. In combined scenarios, the influence of $\lambda$ is found to be dominant. These findings extend the understanding of Kerr black holes in EMDA backgrounds and highlight the stabilizing role of PFDM in such systems.

39 pages, 12 figures, 6 tables: major revision in Sec. 3.4 Energy extraction from the black hole and Sec. 3.5 Superradiant instability

References in corpus (30)

• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Generating rotating regular black hole solutions without complexification
• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Gravitational wave signatures of ultralight vector bosons from black hole superradiance
• Investigation of circular geodesics in a rotating charged black hole in the presence of perfect fluid dark matter
• Echoes of novel black-bounce spacetimes
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• On the detectability of higher harmonics with LISA
• Superradiance of charged black holes embedded in dark matter halos
• Quasinormal Modes of Dilaton Black Holes: Analytic approximations
• Improved Analytic Solution of Black Hole Superradiance
• Implications of Einstein-Maxwell dilaton-axion gravity from the black hole continuum spectrum
• Thermodynamics and evaporation of perfect fluid dark matter black hole in phantom background
• Superradiance of massive scalar particles around rotating regular black holes
• Near-horizon quasinormal modes of charged scalar around a general spherically symmetric black hole
• Quasinormal modes, Hawking radiation and absorption of the massless scalar field for Bardeen black hole surrounded by perfect fluid dark matter
• Superradiance and quasinormal modes of the gravitational perturbation around rotating hairy black hole
• Cosmic string bursts in LISA
• Next-to-leading-order solution to Kerr-Newman black hole superradiance
• Superradiant Axionic Black-Hole Clouds as Seeds for Graviton Squeezing
• Superradiance of rotating black holes surrounded by dark matter
• Squeezed gravitons from superradiant axion fields around rotating black holes
• Testing black holes in a perfect fluid dark matter environment using quasinormal modes
• Revisiting superradiant stability of Kerr-Newman black holes under a charged massive scalar
• Charged, rotating black holes in Einstein-Maxwell-dilaton theory
• Dyonic Kerr-Sen Black Hole's Resonant Scattering: Absorption and Superradiance