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

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.

Figures (5)

• Figure 1: Behavior of the function $f(r)$ for $\kappa/M^2 > 0$.
• Figure 2: Behavior of the function $f(r)$ for $\kappa/M^2 < 0$.
• Figure 3: Effective potential, $V_{\text{eff}}$, for $\beta/M = -0.2$ and $\kappa/M^2 = 5$.
• Figure 4: $L_{ISCO}/M$ for positive values of $\kappa/M^2$.
• Figure 5: $L_{ISCO}/M$ para valores negativos de $\kappa/M^2$