Black Holes Surrounded by Perfect Fluid Dark Matter in Eddington-inspired Born-Infeld Gravity

TL;DR

This paper derives an exact solution for black holes in EiBI gravity surrounded by perfect fluid dark matter, analyzing horizon properties and particle orbits to understand the influence of model parameters.

Contribution

It provides the first exact solution for black holes with dark matter in EiBI gravity and explores their fundamental properties and particle dynamics.

Findings

Event horizon and black hole size depend on model parameters.

Stable circular orbits are highly sensitive to coupling constants.

Numerical analysis reveals unique geodesic behaviors.

Abstract

In this work, we exactly derive the solution for the gravitational field of a black hole in Eddington-inspired Born-Infeld (EiBI) gravity, surrounded by perfect fluid dark matter. We analyze how the event horizon and the black hole dimensions vary as a function of the model parameters, exploring the fundamental properties of this spacetime. Through numerical investigations, we examine the geodesics of massive particles and demonstrate the high sensitivity of stable circular orbits to the system's coupling constants.