A rotating black-hole metric with a dark-matter halo is derived, but the proposed halo profiles do not make the spacetime asymptotically flat as claimed.
General parametrization of axisymmetric black holes in metric theories of gravity
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
Following previous work of ours in spherical symmetry, we here propose a new parametric framework to describe the spacetime of axisymmetric black holes in generic metric theories of gravity. In this case, the metric components are functions of both the radial and the polar angular coordinates, forcing a double expansion to obtain a generic axisymmetric metric expression. In particular, we use a continued-fraction expansion in terms of a compactified radial coordinate to express the radial dependence, while we exploit a Taylor expansion in terms of the cosine of the polar angle for the polar dependence. These choices lead to a superior convergence in the radial direction and to an exact limit on the equatorial plane. As a validation of our approach, we build parametrized representations of Kerr, rotating dilaton, and Einstein-dilaton-Gauss-Bonnet black holes. The match is already very good at lowest order in the expansion and improves as new orders are added. We expect a similar behavior for any stationary and axisymmetric black-hole metric.
citation-role summary
method 1
citation-polarity summary
roles
method 1polarities
use method 1representative citing papers
Derives spin-dependent bounds on NED deformation g/M from Sgr A* shadow, eikonal QNMs, and Comisso-Asenjo reconnection power in rotating geometries.
Numerical simulations benchmark the eikonal and post-Kerr approximations for quasinormal modes in deformed Kerr spacetimes, quantifying their errors relative to expected observational precision.
Horizon-scale synchrotron images and polarization maps of Konoplya-Zhidenko black holes with thick disks show expanded photon rings, darker centers, and viewing-angle-dependent asymmetries that vary with the deformation parameter.
GWTC-4 inspirals yield tighter constraints on Johannsen parameters α13 and ε3, both consistent with zero and thus with the Kerr geometry.
citing papers explorer
-
A metric solution for rotating black holes embedded in dark matter halos with central spikes
A rotating black-hole metric with a dark-matter halo is derived, but the proposed halo profiles do not make the spacetime asymptotically flat as claimed.
-
Energy extraction from NED-deformed rotating black holes via the Comisso-Asenjo reconnection process
Derives spin-dependent bounds on NED deformation g/M from Sgr A* shadow, eikonal QNMs, and Comisso-Asenjo reconnection power in rotating geometries.
-
Confronting eikonal and post-Kerr methods with numerical evolution of scalar field perturbations in spacetimes beyond Kerr
Numerical simulations benchmark the eikonal and post-Kerr approximations for quasinormal modes in deformed Kerr spacetimes, quantifying their errors relative to expected observational precision.
-
Imaging and Polarimetric Signatures of Konoplya-Zhidenko Black Holes with Various Thick Disk
Horizon-scale synchrotron images and polarization maps of Konoplya-Zhidenko black holes with thick disks show expanded photon rings, darker centers, and viewing-angle-dependent asymmetries that vary with the deformation parameter.
-
Improved Constraints on Non-Kerr Deviations from Binary Black Hole Inspirals Using GWTC-4 Data
GWTC-4 inspirals yield tighter constraints on Johannsen parameters α13 and ε3, both consistent with zero and thus with the Kerr geometry.