English

Rotating charged black holes shadow in quintessence

General Relativity and Quantum Cosmology 2022-05-05 v2

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 qq, spin parameter aa, quintessential field parameter ωq\omega_q and normalization factor cc. The parameter ωq\omega_q can take the value between 1<ωq<1/3-1<\omega_q<-1/3 and related with pressure pp and density ρq\rho_q by the equation of state p=ωqρqp=\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 ωq=2/3\omega_q=-2/3. We compare our results with the standard Kerr-Newman black hole and find that for a fix value of aa and qq, the black hole shadow decreases and get distorted with cc. 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.

Keywords

Cite

@article{arxiv.1711.02898,
  title  = {Rotating charged black holes shadow in quintessence},
  author = {Balendra Pratap Singh},
  journal= {arXiv preprint arXiv:1711.02898},
  year   = {2022}
}

Comments

15 pages, 7 figures