Shadow and deflection angle of rotating black holes in perfect fluid dark matter with a cosmological constant

By Sumarna Haroon, M. Jamil, K. Jusufi, Kai Lin, Robert B. Mann. Physical Review D, 2018

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The presence of dark matter around a black hole remarkably affects its spacetime. We consider the effects of dark matter on the shadow of a new solution to the Einstein equations that describes a rotating black hole in the background of perfect dark matter fluid (PFDM), along with its extension to nonzero cosmological constant $\Lambda$. Working in Boyer-Lindquist coordinates, we consider the effects of the PFDM parameter $\alpha$ on the shadow cast by a black hole with respect to an observer at position $(r_o,\theta_o)$. By applying the Gauss-Bonnet theorem to the optical geometry we find that notable distortions from a Kerr black hole can occur. We describe their dependence on $\alpha$ and $\Lambda$.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1de01a34a869c08a84fcb5e5c16d92ec28902b04

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In Astronomy and Astrophysics

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In Nuclear and High Energy Physics

  1. O. Tsupko
  2. V. Perlick
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  4. Sushant G. Ghosh
  5. Rahul Kumar

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