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Solutions of the Einstein equations for a black hole surrounded by a galactic halo

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arxiv 2202.02205 v3 pith:PI27JMCK submitted 2022-02-04 gr-qc astro-ph.GAhep-th

Solutions of the Einstein equations for a black hole surrounded by a galactic halo

classification gr-qc astro-ph.GAhep-th
keywords equationsgalactichaloblackeinsteingeneralholemetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Various profiles of matter distribution in galactic halos (such as Navarro-Frenk-White, Burkert, Hernquist, Moore, Taylor-Silk and others) are considered here as the source term for the Einstein equations. We solve these equations and find exact solutions which represent the metric of a central black hole immersed in a galactic halo. Even though in the general case the solution is numerical, very accurate general analytical metric, which includes all the particular models, are found in the astrophysically relevant regime, when the mass of the galaxy is much smaller than the characteristic scale in the halo.

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Cited by 12 Pith papers

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