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Einstein Cluster as Central Spiky Distribution of Galactic Dark Matter
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abstract
Using the Einstein cluster models, we construct a fully relativistic, spherically symmetric, spiky structure of matter distribution near a supermassive black hole. We introduce and discuss three simple toy models, together with a more realistic model, which includes a Hernquist-type distribution with a typical galaxy scale. We find that the innermost stable circular orbit (ISCO) depends on the details of the environment, and lies between the photon radius (at $3M_{\rm BH}$) and the ISCO radius of an isolated black hole of mass $M_{\rm BH}$ (at $6M_{\rm BH}$).
Forward citations
Cited by 8 Pith papers
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Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects
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.
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Probing the Distribution and Nature of Dark Matter Around Supermassive Black Holes from EMRI and IMRI Gravitational Waves
Dark-matter halos built from exact relativistic Einstein-cloud solutions can measurably dephase EMRI/IMRI gravitational waves, mainly through changes in spacetime geometry rather than dynamical friction.
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Matter environments around black holes: geodesics, light rings, and ultracompact configurations
Dark-matter halos modeled as Einstein clusters generically move the ISCO inward and the light ring outward, and ultracompact halos can add extra light rings, trapped modes, and secondary horizons.
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Schwarzschild-like Black Holes Submerged in an Exponential Density Dark Matter Profile
An analytic Schwarzschild-like metric with an exponential dark matter halo is constructed and its shadows, quasi-normal modes, and greybody bounds are computed, though several derived expressions have sign errors.
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Ringdown of a black hole sourced by a Burkert-density effective anisotropic source
The Burkert-halo black hole metric and its quasinormal-mode shifts are computed, but the model's source is not Burkert and the axial gravitational potential is incorrect.
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Periodic orbits and their gravitational wave radiations in black hole with dark matter halo
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.
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Black hole in the Dekel-Zhao dark matter profile
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.
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New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk
A Newman-Janis rotation of a Dehnen dark-matter-halo black hole gives shadow sizes matching EHT images only when halo density and scale parameters are relatively high.
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