Abstract
We compute the quasinormal frequencies for scalar perturbations of charged black holes in five-dimensional Einstein-power-Maxwell theory. The impact on the spectrum of the electric charge of the black holes, of the angular degree, of the overtone number, and of the mass of the test scalar field is investigated in detail. The quasinormal spectra in the eikonal limit are computed as well for several different space-time dimensionalities.
Highlights
In all metric theories of gravity black holes (BHs) generically are predicted to exist
BHs with a scalar hair [1]), black holes link together several research areas, from gravitation and statistical physics to quantum mechanics and Astrophysics. Their existence has been established in a two-fold way, namely first by the numerous direct detections of gravitational waves from black hole mergers [2,3,4,5,6], and thanks to the first image of the supermassive black hole [7,8,9,10,11,12] located at the centre of the giant elliptical galaxy Messier 87 by the Event Horizon Telescope project [13] precisely one year ago
Quasinormal modes (QNMs) are characteristic frequencies that depend on the details of the geometry and on the type of the perturbation, but not on the initial conditions
Summary
In all metric theories of gravity black holes (BHs) generically are predicted to exist. Despite their simplicity are without a doubt fascinating objects both for classical and quantum gravity. BHs with a scalar hair [1]), black holes link together several research areas, from gravitation and statistical physics to quantum mechanics and Astrophysics. In this work we propose to compute the QN spectrum for scalar perturbations of charged BHs in EpM theory in higher dimensions, extending two previous similar works of ours [48,51] in D > 4. Our work in the present article is organized as follows: we briefly review charged BH solutions in EpM theory, and we very briefly discuss the wave equation with the corresponding effective potential barrier for the scalar perturbations.
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