New analytical model of static black hole with a dark matter halo and parametric constraints through quasiperiodic oscillations

Fuente: arXiv
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Autori principali: Uktamov, Uktamjon, Shaymatov, Sanjar, Ahmedov, Bobomurat, Yuan, Chengxun
Natura: Preprint
Pubblicazione: 2025
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author Uktamov, Uktamjon
Shaymatov, Sanjar
Ahmedov, Bobomurat
Yuan, Chengxun
author_facet Uktamov, Uktamjon
Shaymatov, Sanjar
Ahmedov, Bobomurat
Yuan, Chengxun
contents A novel analytical Schwarzschild-like black hole (BH) solution is derived. It exhibits a static BH with a dark matter (DM) halo characterized by a Dehnen-type density profile. This solution could represent an alternative perspective on the interaction of black hole-dark matter systems, providing new insights into the fundamental properties of DM halos. We study the properties of the newly derived BH solution by examining its spacetime curvature characteristics and energy conditions, providing insights into how the DM halo influences these fundamental characteristics. Additionally, we analyze the timelike geodesics of test particles in the obtained BH-DM spacetime, highlighting how the presence of the novel Dehnen-type DM halo alters the gravitational dynamics and modifies particle trajectories. Increase of the DM halo's density $ρ_s$ and characteristic scale $r_s$ leads to an outward shift of both stable and unstable circular orbits. Finally, we test our model by fitting it to real data from the microquasars GRO J1655-40, GRS 1915+105, and XTE J1550-564 using a statistical Markov Chain Monte Carlo (MCMC) method. This allows us to find the best estimates for the properties of the DM halo surrounding these systems.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20031
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New analytical model of static black hole with a dark matter halo and parametric constraints through quasiperiodic oscillations
Uktamov, Uktamjon
Shaymatov, Sanjar
Ahmedov, Bobomurat
Yuan, Chengxun
General Relativity and Quantum Cosmology
A novel analytical Schwarzschild-like black hole (BH) solution is derived. It exhibits a static BH with a dark matter (DM) halo characterized by a Dehnen-type density profile. This solution could represent an alternative perspective on the interaction of black hole-dark matter systems, providing new insights into the fundamental properties of DM halos. We study the properties of the newly derived BH solution by examining its spacetime curvature characteristics and energy conditions, providing insights into how the DM halo influences these fundamental characteristics. Additionally, we analyze the timelike geodesics of test particles in the obtained BH-DM spacetime, highlighting how the presence of the novel Dehnen-type DM halo alters the gravitational dynamics and modifies particle trajectories. Increase of the DM halo's density $ρ_s$ and characteristic scale $r_s$ leads to an outward shift of both stable and unstable circular orbits. Finally, we test our model by fitting it to real data from the microquasars GRO J1655-40, GRS 1915+105, and XTE J1550-564 using a statistical Markov Chain Monte Carlo (MCMC) method. This allows us to find the best estimates for the properties of the DM halo surrounding these systems.
title New analytical model of static black hole with a dark matter halo and parametric constraints through quasiperiodic oscillations
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.20031