An exact analytic metric is constructed for rotating black holes embedded in generic dark matter halos with a central density spike that vanishes beyond a truncation radius near the horizon, generalizing prior spherical solutions.
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Dark matter distributions around massive black holes: A general relativistic analysis
12 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The cold dark matter at the center of a galaxy will be redistributed by the presence of a massive black hole. The redistribution may be determined using an approach pioneered by Gondolo and Silk: begin with a model distribution function for the dark matter, and ``grow'' the black hole adiabatically, holding the adiabatic invariants of the motion constant. Unlike the approach of Gondolo and Silk, which adopted Newtonian theory together with ad hoc correction factors to mimic general relativistic effects, we carry out the calculation fully relativistically, using the exact Schwarzschild geometry of the black hole. We find that the density of dark matter generically vanishes at r=2R_S, not 4R_S as found by Gondolo and Silk, where R_S is the Schwarzschild radius, and that the spike very close to the black hole reaches significantly higher densities. We apply the relativistic adiabatic growth framework to obtain the final dark matter density for both cored and cusped initial distributions. Besides the implications of these results for indirect detection estimates, we show that the gravitational effects of such a dark matter spike are significantly smaller than the relativistic effects of the black hole, including frame dragging and quadrupolar effects, for stars orbiting close to the black hole that might be candidates for testing the black hole no-hair theorems.
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A unified framework for the perturbed Kepler problem derives modified eccentric orbits and gravitational wave imprints from a general perturbed potential, offering a source-specific alternative to post-Newtonian expansions.
Axial tidal Love numbers for black holes in anisotropic fluid environments are derived analytically and numerically, with non-compact support density profiles producing logarithmic terms that obstruct standard tidal matching due to the lack of a strictly vacuum exterior.
Scalar clouds around black holes in mass-varying dark matter halos exist only for quantized scalar-dark matter couplings set by halo parameters such as compactness.
Stellar gravitational heating reduces dark matter spike overdensities by 2-4 orders of magnitude and drives the inner slope to γ_χ ≈ 1.5 within a few Gyrs, remaining above NFW cusps.
Numerical ringdown waveforms for black holes in Dehnen dark matter profiles are generated and analyzed for detectability and parameter inference using second-generation TDI in space-based detectors such as LISA, Taiji, and TianQin.
Numerical and analytic modeling of boson star-black hole systems in the nonrelativistic limit, with Fisher analysis indicating LISA sensitivity to ultralight dark matter mass and self-coupling via gravitational wave dephasing.
Fermi LAT data on mini-spikes around stellar-mass black holes rules out substantial regions of Inert Doublet Model dark matter parameter space, especially at multi-TeV masses.
ANTARES Galactic Ridge neutrino measurements can constrain annihilating and decaying dark matter for various masses and profiles while comparing to astrophysical backgrounds, with forecasts for future observatories.
Black hole spacetimes in dark matter spikes are solved analytically from TOV equations; ringdown quasinormal frequencies differ from Schwarzschild by up to order 10^{-4}.
CMB data limits the s-wave annihilation cross section of thermal dark matter particles to ≲ 10^{-30} cm³/s scaled by PBH fraction and mass for PBHs heavier than ~10^{-10} solar masses.
Braneworld quadratic and nonlocal corrections weaken gravity in anisotropic Einstein-cluster environments around black holes, blocking horizon formation and shifting Einstein-ring and shadow radii in ways that may constrain brane tension for sub-stellar-mass objects.
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Astrophysical environment around a black hole in the braneworld and its optical signatures
Braneworld quadratic and nonlocal corrections weaken gravity in anisotropic Einstein-cluster environments around black holes, blocking horizon formation and shifting Einstein-ring and shadow radii in ways that may constrain brane tension for sub-stellar-mass objects.