Particle Dynamics and Thermodynamics of a Charged-Like Hairy Black Hole in Extended Gravitational Decoupling
Abstract
This work focuses on the analysis of particle dynamics and the thermodynamic properties associated with a particular branch of hairy black hole solutions. These solutions are obtained by using extended geometric deformation gravitational decoupling on the seed solution of the Schwarzschild solution. This resulting geometry satisfies the dominant energy condition and the condition Q2=2χℓ M. We analyze the motion of massive particles and photons in this geometry and the thermodynamics of this solution. In particular, for massless particles, we study the effective potential and determine the radii of the photon sphere and the shadow of the black hole. For massive particles, we calculate the specific energy and angular momentum of circular orbits, the ISCO, the radiative efficiency of an accretion disk, and representative particle trajectories. Finally, we investigate the thermodynamic properties of this hairy black hole geometry, including the Hawking temperature, the Bekenstein-Hawking entropy, and the heat capacity in the fixed-(Q,ℓ) ensemble.
Related
- Thermodynamic volumes of extended black hole thermodynamics with auxiliary gauge fields
- Regular hairy black holes by gravitational decoupling: de Sitter and Minkowski cores
- Thermodynamic Volumes of Extended Black Hole Thermodynamics with Auxiliary Gauge Fields
- On the Mathematical Foundations of Gravitational Decoupling in General Relativity
- Extended Generalized Uncertainty Principle Corrections to Five Dimensional Einstein Gauss Bonnet Black Hole Thermodynamics
BibTeX
@misc{gul2026particle,
title = {{Particle Dynamics and Thermodynamics of a Charged-Like Hairy Black Hole in Extended Gravitational Decoupling}},
author = {M. Zeeshan Gul and Ahmad Al-Badawi and J. Andrade and Sadia Zahid},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08304},
eprint = {2609.08304},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08304},
}
RIS
TY - UNPB
TI - Particle Dynamics and Thermodynamics of a Charged-Like Hairy Black Hole in Extended Gravitational Decoupling
AU - M. Zeeshan Gul
AU - Ahmad Al-Badawi
AU - J. Andrade
AU - Sadia Zahid
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08304
UR - https://arxiv.org/abs/2609.08304
AB - This work focuses on the analysis of particle dynamics and the thermodynamic properties associated with a particular branch of hairy black hole solutions. These solutions are obtained by using extended geometric deformation gravitational decoupling on the seed solution of the Schwarzschild solution. This resulting geometry satisfies the dominant energy condition and the condition Q^2=2χℓ M. We analyze the motion of massive particles and photons in this geometry and the thermodynamics of this solution. In particular, for massless particles, we study the effective potential and determine the radii of the photon sphere and the shadow of the black hole. For massive particles, we calculate the specific energy and angular momentum of circular orbits, the ISCO, the radiative efficiency of an accretion disk, and representative particle trajectories. Finally, we investigate the thermodynamic properties of this hairy black hole geometry, including the Hawking temperature, the Bekenstein-Hawking entropy, and the heat capacity in the fixed-(Q,ℓ) ensemble.
ER -