Rotating charged black holes shadow in quintessence

TL;DR

This paper investigates how the shadow of rotating charged black holes is affected by quintessence, revealing dependencies on charge, spin, and quintessence parameters, and compares results with Kerr-Newman black holes.

Contribution

It derives the geodesic structure and shadow contours of rotating charged black holes in quintessence, highlighting the influence of quintessence parameters on shadow shape and size.

Findings

Black hole shadow size decreases with increasing quintessence parameter c.

Shadow becomes more distorted as the quintessence parameter c increases.

The energy emission rate is related to the photon sphere area and optical properties.

Abstract

We study the shadow of rotating charge black holes in the presence of quintessence. The shadow of a rotating black hole is a distorted circle and in our study, we find that the shape and size of the black hole shadow depend upon four parameters, i.e., charge $q$, spin parameter $a$, quintessential field parameter $\omega_q$ and normalization factor $c$. The parameter $\omega_q$ can take the value between $-1<\omega_q<-1/3$ and related with pressure $p$ and density $\rho_q$ by the equation of state $p=\omega_q \rho_q$. We derive the complete geodesic structure of photon near black hole using the Hamilton-Jacobi equation and Carter constant separable method. We relate celestial coordinate to geodesics equation and plot the contour of the black hole shadow for the case $\omega_q=-2/3$. We compare our results with the standard Kerr-Newman black hole and find that for a fix value of $a$ and $q$, the black hole shadow decreases and get distorted with $c$. The area of the photon sphere is equal to the high-energy absorption cross section due to the optical properties of the black hole. On the basis of this assumption we calculate the energy emission rate of the black hole.