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Shadow and Deflection Angle of Rotating Black Holes in Perfect Fluid Dark Matter with a Cosmological Constant

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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 (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 $\Lambda$.

fields

gr-qc 2

years

2026 1 2022 1

representative citing papers

Cosmological coupled black holes immersed in dark sector

gr-qc · 2026-03-23 · unverdicted · novelty 6.0 · 2 refs

Derives an exact solution for a black hole in anisotropic dark sector FLRW background with mass co-evolving via radius-dependent coupling governed by the dark halo profile.

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