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- Title
Charged scalar fields around Einstein-power-Maxwell black holes.
- Authors
Panotopoulos, Grigoris
- Abstract
We study the propagation of massless charged scalar fields, and compute the corresponding quasinormal modes of the Einstein-power-Maxwell spacetime in (1+3) dimensions. By employing two different numerical schemes, we characterize the behavior of the modes throughout the whole parameter space of the model. Our results indicate the existence of two distinct families of modes. A family directly related to the photon-sphere of the black hole and another family, which comes into play for near-extremal black hole charges. Our numerics show that close to extremality, the fundamental near-extremal modes become longer-lived compared to the corresponding fundamental photon-sphere modes and are approximated by the formula ω NE ≈ e Φ (r h) - i κ h , where e is the charge of the scalar field and Φ (r h) , κ h are the electric potential and surface gravity of the black hole event horizon. Finally, it is shown that the near-extremal family becomes purely imaginary in the e → 0 limit.
- Subjects
SCALAR field theory; BLACK holes; EINSTEIN field equations; ELECTRIC potential; SURFACE potential; SPACETIME
- Publication
General Relativity & Gravitation, 2019, Vol 51, Issue 6, pN.PAG
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-019-2560-z