Rotating charged black hole shadow in quintessence

Abstract

We analytically study the shadow of the charged rotating black hole in the presence of quintessence. The quintessential energy adequately affects the shape and size of the black hole shadow. The shadow of a rotating black hole spots a distorted dark disk. The shape and size of the black hole shadow depend on its mass M, spin parameter a, charge q, quintessential field parameter ωq, and normalization factor c. We derive the entire geodesic structure of photons near black holes using the Hamilton–Jacobi equation and Carter constant separable method. We relate the celestial coordinates to geodesic equations and plot the contour of the black hole shadow for the case ωq=−2/3. To find the effect of quintessential energy on the black hole shadow, we obtain observable i.e. shadow radius Rs and distortion parameter δs. We compare all our results with the Kerr black hole in quintessence, Kerr–Newman black hole and Bardeen–Kiselev black hole. Our study shows that for a fixed value of the spin parameter a and normalization factor c, the black hole shadow monotonically decreases and gets more distorted with charge q.