Electrically Charged Distorted Black Holes: Thermodynamics, Particle Dynamics, and Quasinormal Signatures
Gamal G. L. Nashed, Salvatore Capozziello
gr-qc, astro-ph.HE, hep-th
Submitted: 2026-06-24
Comments: 22 pages, 3 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: We construct an exact solution for the electrically charged extension of a distorted black hole spacetime within Einstein-Maxwell theory using the Harrison transformation.
Terminology
Abstract
We construct an exact solution for the electrically charged extension of a distorted black hole spacetime within Einstein-Maxwell theory using the Harrison transformation. The resulting solution represents a charged deformation of a static distorted vacuum geometry in which the electromagnetic field is introduced through a nonlinear transformation preserving the radial structure of the seed spacetime. Consequently, the Killing horizon remains determined solely by the seed metric and it is not shifted by the electric charge. We analyze the thermodynamic properties of the solution and show that the horizon area, entropy, and temperature are governed by the geometric sector, while the electric charge enlarges the thermodynamic phase space through the electromagnetic potential. The motion of charged test particles is studied using the effective potential formalism, where the distortion parameter modifies circular orbits and shifts the location of the innermost stable circular orbit. We also investigate the black hole shadow for a static observer at finite distance and show that the distortion parameter displaces the photon sphere outward, increasing the apparent shadow size. A geometric correspondence between the photon orbit, determining the shadow and the leading eikonal quasinormal-mode frequency, is discussed, linking optical and perturbative observables. Finally, we study charged scalar perturbations and show that the vanishing horizon electric potential prevents a charged superradiant amplification. In the weak-coupling regime, the quasinormal-mode spectrum is estimated using the WKB method, where the electromagnetic interaction enters through the gauge-invariant combination (omega - q s xi t) and shifts the oscillation frequencies of the perturbations.
Sources
- On the gravitational field of a mass point according to Einstein's theory
- Master equations for perturbations of generalised static black holes with charge in higher dimensions
- Black Holes in Higher Dimensions
- Higher order gravity theories and their black hole solutions
- Is the gravitational-wave ringdown a probe of the event horizon?
- Shadows and strong gravitational lensing: a brief review
- Asymptotically flat black holes with scalar hair: a review
- Conformal Invariance of Black Hole Temperature
- Topology, Entropy and Witten Index of Dilaton Black Holes
- Thermodynamical Aspects of Gravity: New insights
- On Gauss-Bonnet black hole entropy
- f(R) Theories Of Gravity
- Quasinormal modes of black holes and black branes
- Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality
- Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes
- Black Hole Entropy is Noether Charge
- Thermodynamics of Spacetime: The Einstein Equation of State
- Gravity and the Thermodynamics of Horizons
- Enthalpy and the Mechanics of AdS Black Holes
- Pressure and volume in the first law of black hole thermodynamics
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