Geodesics and Thermodynamics of a Schwarzschild Black Hole with Hernquist Dark Matter

Fuente: arXiv
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Auteurs principaux: Moreira, A. R. P., Bouzenada, A., Belchior, F. M., Lima, F. C. E.
Format: Preprint
Publié: 2026
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author Moreira, A. R. P.
Bouzenada, A.
Belchior, F. M.
Lima, F. C. E.
author_facet Moreira, A. R. P.
Bouzenada, A.
Belchior, F. M.
Lima, F. C. E.
contents In this work, we investigate the physical and geometrical properties of a Schwarzschild black hole (BH) immersed in a Hernquist dark matter halo. To accomplish our purpose, one builds the BH metric by incorporating the Hernquist dark matter profile into the Schwarzschild geometry. In addition, we verify the null geodesic solutions and the Halo effect on photon dynamics. Within this framework, one examines the corresponding light trajectories to determine the deformation of photon paths generated by the dark matter distribution. Furthermore, the thermodynamic properties of the system are studied by deriving expressions for the black hole mass, the horizon condition, the Hawking temperature, the entropy, the Gibbs free energy, and the heat capacity. Our results show that the dark matter halo modifies the thermal structure and stability conditions of the black hole configuration. Finally, we investigate the scalar perturbations to examine the influence of the Hernquist halo on the dynamical propagation of scalar fields in the BH background. In this framework, the results obtained demonstrate that the dark matter parameters yield nontrivial corrections to the optical, thermodynamic, and perturbative properties of the Schwarzschild black hole, producing deviations from the standard vacuum solution.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24046
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Geodesics and Thermodynamics of a Schwarzschild Black Hole with Hernquist Dark Matter
Moreira, A. R. P.
Bouzenada, A.
Belchior, F. M.
Lima, F. C. E.
General Relativity and Quantum Cosmology
In this work, we investigate the physical and geometrical properties of a Schwarzschild black hole (BH) immersed in a Hernquist dark matter halo. To accomplish our purpose, one builds the BH metric by incorporating the Hernquist dark matter profile into the Schwarzschild geometry. In addition, we verify the null geodesic solutions and the Halo effect on photon dynamics. Within this framework, one examines the corresponding light trajectories to determine the deformation of photon paths generated by the dark matter distribution. Furthermore, the thermodynamic properties of the system are studied by deriving expressions for the black hole mass, the horizon condition, the Hawking temperature, the entropy, the Gibbs free energy, and the heat capacity. Our results show that the dark matter halo modifies the thermal structure and stability conditions of the black hole configuration. Finally, we investigate the scalar perturbations to examine the influence of the Hernquist halo on the dynamical propagation of scalar fields in the BH background. In this framework, the results obtained demonstrate that the dark matter parameters yield nontrivial corrections to the optical, thermodynamic, and perturbative properties of the Schwarzschild black hole, producing deviations from the standard vacuum solution.
title Geodesics and Thermodynamics of a Schwarzschild Black Hole with Hernquist Dark Matter
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2605.24046