Abstract
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, along with its extension to nonzero cosmological constant . Working in Boyer-Lindquist coordinates, we consider the effects of the perfect dark matter fluid parameter on the shadow cast by a black hole with respect to an observer at position . 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 and .
- Received 11 October 2018
DOI:https://doi.org/10.1103/PhysRevD.99.044015
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