Thermodynamics and null-geodesic of the Kerr-Newman black hole surrounded by quintessence and a cloud of string

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Main Authors: Meitei, Aheibam Boycha, Singh, Yenshembam Priyobarta, Singh, Telem Ibungochouba, Meitei, Irom Ablu, Singh, Kangujam Yugindro
Format: Preprint
Published: 2026
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author Meitei, Aheibam Boycha
Singh, Yenshembam Priyobarta
Singh, Telem Ibungochouba
Meitei, Irom Ablu
Singh, Kangujam Yugindro
author_facet Meitei, Aheibam Boycha
Singh, Yenshembam Priyobarta
Singh, Telem Ibungochouba
Meitei, Irom Ablu
Singh, Kangujam Yugindro
contents In this paper, we study the effect of the modified dispersion relation (MDR) on the thermodynamics of the Kerr-Newman black hole surrounded by quintessence and a cloud of string. The thermodynamic properties of the Kerr-Newman black hole are shown to rely not only on the black hole's properties but also on the parameters associated with the modified dispersion relation, quintessence, and the cloud string. Additionally, the equation of state is impacted by these parameters. The remnant and the stability of the black hole are also discussed under the correction of MDR, quintessence, and a cloud of string. In addition, the null geodesic structure of the spacetime is studied using the Hamilton--Jacobi formalism. The effective potential for photon motion is obtained, and the radii of the prograde and retrograde circular photon orbits are determined. The instability of these circular photon orbits is further characterized by the Lyapunov exponent.
format Preprint
id arxiv_https___arxiv_org_abs_2603_12756
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Thermodynamics and null-geodesic of the Kerr-Newman black hole surrounded by quintessence and a cloud of string
Meitei, Aheibam Boycha
Singh, Yenshembam Priyobarta
Singh, Telem Ibungochouba
Meitei, Irom Ablu
Singh, Kangujam Yugindro
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
In this paper, we study the effect of the modified dispersion relation (MDR) on the thermodynamics of the Kerr-Newman black hole surrounded by quintessence and a cloud of string. The thermodynamic properties of the Kerr-Newman black hole are shown to rely not only on the black hole's properties but also on the parameters associated with the modified dispersion relation, quintessence, and the cloud string. Additionally, the equation of state is impacted by these parameters. The remnant and the stability of the black hole are also discussed under the correction of MDR, quintessence, and a cloud of string. In addition, the null geodesic structure of the spacetime is studied using the Hamilton--Jacobi formalism. The effective potential for photon motion is obtained, and the radii of the prograde and retrograde circular photon orbits are determined. The instability of these circular photon orbits is further characterized by the Lyapunov exponent.
title Thermodynamics and null-geodesic of the Kerr-Newman black hole surrounded by quintessence and a cloud of string
topic General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.12756