English

Shadow of Schwarzschild-Tangherlini black holes

General Relativity and Quantum Cosmology 2017-07-25 v1

Abstract

We study the shadow cast by the HDD Schwarzschild-Tangherlini black hole, and analytically calculate the influence of extra dimensions on the shadow of a black hole. A black hole casts a shadow as an optical appearance because of its strong gravitational field which is known to be a dark zone covered by a circle for a Schwarzschild black hole. We demonstrate that the null geodesic equation can be integrated by Hamilton-Jacobi approach, which enables us to investigate the shadow cast by the HDD Schwarzschild-Tangherlini black holes. Interestingly, it turns out that, for fixed values of the mass parameter, the shadow in HDD spacetimes are smaller when compared with 4DD Schwarzschild black hole. Further, the shadows of HDD Schwarzschild-Tangherlini black holes are concentric circles with a radius of the circle decreases with increase in DD. We visualize the photon regions and the shadows in various dimensions for different values of the parameters, and the energy emission rates are is also investigated. Our results, in the limit D=4D=4, reduced exactly to \emph{vis-aˋ\grave{a}-vis} Schwarzschild black hole case.

Keywords

Cite

@article{arxiv.1707.07125,
  title  = {Shadow of Schwarzschild-Tangherlini black holes},
  author = {Balendra Pratap Singh and Sushant G. Ghosh},
  journal= {arXiv preprint arXiv:1707.07125},
  year   = {2017}
}

Comments

16 pages, 5 figures, 1 table