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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

classification gr-qcastro-ph.GAhep-th
keywords equationsgalactichaloblackeinsteingeneralholemetric
verification ladder T0 review T1 audit T2 compute T3 formal

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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

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Ringdown and the Tide: Fingerprints of Dark Matter Halo Profiles

    gr-qc 2026-08 conditional novelty 6.0 of 10

    For black holes in generalized (alpha,beta,gamma) dark matter halos, the axial ringdown shift is set by a single redshift integral, while the tidal Love number depends on an outer radial moment, making the two observa...

  2. Geometric properties of slowly rotating black holes embedded in matter environments

    gr-qc 2026-02 conditional novelty 6.0 of 10

    The rotation of a surrounding dark-matter halo shifts the light ring, ISCO, epicyclic frequencies, and resonance locations of a slowly spinning black hole in a way that depends on the halo's angular velocity.

  3. Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects

    gr-qc 2025-11 conditional novelty 6.0 of 10

    A dark-matter spike built from the full orbital motion of its particles has ~50% more energy density near the black hole and produces metric deviations ~2.5 times larger than mass-only models.

  4. Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.

  5. Periodic orbits and their gravitational waves in EMRIs: supermassive black hole affected by galactic dark matter halos

    gr-qc 2025-10 conditional novelty 5.0 of 10

    Periodic zoom-whirl orbits and their gravitational waveforms in NFW, Beta, and Moore dark matter halos deviate from Schwarzschild predictions by an amount set by halo mass and radius, with NFW and Beta nearly identica...

  6. Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium

    gr-qc 2026-07 conditional novelty 4.5 of 10

    Plasma and topological defect k suppress scalar QNM frequencies and allow axial EM quasi-bound states only for homogeneous plasma below a k- and l-dependent critical frequency.

  7. Long-lived quasinormal frequencies for regular black hole supported by the Einasto profile in the presence of the magnetic field

    gr-qc 2026-03 conditional novelty 4.0 of 10

    For Einasto-supported regular black holes, larger effective scalar mass and certain halo parameters suppress the quasinormal damping rate, producing long-lived modes and shifting grey-body factors toward higher frequencies.

  8. Long-lived quasinormal modes and grey-body factors of supermassive black holes with a dark matter halo

    gr-qc 2025-11 conditional novelty 4.0 of 10

    Massive scalar fields around a Schwarzschild black hole with a dark matter halo ring longer as field mass grows, while realistic halo parameters leave quasinormal frequencies and grey-body factors almost unchanged.

  9. Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole

    gr-qc 2025-09 conditional novelty 4.0 of 10

    For black holes embedded in Hernquist dark matter halos, the shadow radius and quasinormal mode frequencies are redshifted by a factor 1 - C + C^2/6 in the halo compactness C, with EHT observations implying C <= 0.092.

  10. Periodic orbits and their gravitational wave radiations in black hole with dark matter halo

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A Hernquist-like dark matter halo changes the energies, angular momenta, and gravitational waveforms of periodic orbits around a supermassive black hole, compared with vacuum Schwarzschild.

  11. Black hole in the Dekel-Zhao dark matter profile

    gr-qc 2025-01 reject novelty 4.0 of 10

    A new black hole solution in a Dekel-Zhao dark matter halo is derived, with shadow size and deflection angle depending on halo density and scale radius.

  12. Effect of dark matter halo on transonic accretion flow around a galactic black hole

    astro-ph.HE 2025-01

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