# New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk

## TL;DR

This paper develops a new rotating black hole model with a dark matter halo, analyzes its optical properties, constrains its parameters using EHT observations, and studies its electromagnetic radiation flux.

## Contribution

It introduces a novel analytical rotating black hole solution with a dark matter halo using the Newman-Janis algorithm and validates it against observational data.

## Key findings

- Shadow size estimates align with EHT observations of M87* and Sgr A*
- Dark matter parameters are constrained consistent with previous studies
- Electromagnetic flux analysis provides insights into accretion processes

## Abstract

In this paper, we start from a static black hole (BH) immersed in a Deanne-type dark matter (DM) halo and employ the Newman-Janis algorithm (NJA) to generate the rotating black hole solution with a dark matter halo. Also, we have checked the validity of the obtained space-time. Then we study optical properties of newly obtained rotating BH in DM halo, including the shadow's geometrical shape, deflection angle of light based Ono, Ishihara and Asada (OID) method, photon sphere and the dependence of the shadow radius on DM parameters. Additionally, assuming that spacetime of a supermassive black hole (SMBH) is described by the newly obtained rotating BH solution, we analyze the parameters of the model with shadow size estimates based on the Event Horizon Telescope (EHT) and Gravity collaboration observations of M87* and Sgr A* SMBHs. Then we have used Markov Chain Monte Carlo (MCMC) analysis to constrain DM parameters $\rho_s$, $r_s$ and BH mass M, BH spin a, also we show that best-fit values for the parameters $\rho_s$, $r_s$ are well agreement with previous results which indicate physically reasonability of the our model. Finally, we have analyzed the electromagnetic radiation flux of the rotating BH in the DM halo employing a ray tracing code.