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

TL;DR

This paper introduces a new analytical Schwarzschild-like black hole model with a Dehnen-type dark matter halo, analyzing its properties and fitting it to microquasar data to understand dark matter's influence on black hole environments.

Contribution

It presents a novel analytical black hole solution with a dark matter halo and applies it to real astrophysical data using MCMC, providing new insights into black hole-dark matter interactions.

Findings

Dark matter halo alters particle trajectories and orbital stability.

Model fits microquasar data, constraining dark matter halo parameters.

Dark matter density and scale affect gravitational dynamics.

Abstract

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 $\rho_s$ 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.