Abstract
In this paper we construct a black hole solution surrounded by superfluid dark matter and baryonic matter, and study their effects on the shadow images of the Sgr A^{*} black hole. To achieve this goal, we have considered two density profiles for the baryonic matter described by the spherical exponential profile and the power law profile including a special case describing a totally dominated dark matter galaxy. Using the present values for the parameters of the superfluid dark matter and baryonic density profiles for the Sgr A^{*} black hole, we find that the effects of the superfluid dark matter and baryonic matter on the size of shadows are almost negligible compared to the Kerr vacuum black hole. In addition, we find that by increasing the baryonic mass the shadow size increases considerably. This result can be linked to the matter distribution in the galaxy, namely the baryonic matter is mostly located in the galactic center and, therefore, increasing the baryonic matter can affect the size of black hole shadow compared to the totally dominated dark matter galaxy where we observe an increase of the angular diameter of the Sgr A^{*} black hole of the magnitude 10^{-5},upmu arcsec.
Highlights
On the other hand, it is believed that up to 90% of matter in the host galaxy of a central black hole consists of dark matter
We first construct the spinning black hole surrounded by dark matter halo based the spherically symmetric spacetime we obtained by applying the Newman–Janis method. With this spinning black hole, we study null geodesics and circular orbits to explore the shadows of Sgr A∗ black hole
In this paper we have obtained a rotating black hole solution surrounded by superfluid dark matter along with baryonic matter
Summary
It is believed that up to 90% of matter in the host galaxy of a central black hole consists of dark matter. It is natural to expect that the dark matter halo which surrounds the central black hole could lead to small deviations from the Kerr metric near the black hole horizon. We first construct the spinning black hole surrounded by dark matter halo based the spherically symmetric spacetime we obtained by applying the Newman–Janis method. With this spinning black hole, we study null geodesics and circular orbits to explore the shadows of Sgr A∗ black hole.
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