Kerr-referenced analytical parametrization of rotating black holes in dynamical Chern-Simons gravity
Abstract
Rotating black holes in dynamical Chern-Simons gravity are known nonperturbatively mainly through numerical solutions, which limits their direct use in strong-field applications. We construct a Kerr-referenced analytical parametrization of the near-general-relativistic numerical branch using a compact radial coordinate, low-order angular multipoles, and continued fractions. The resulting two-parameter family accurately reproduces the numerical metric throughout the validated weak-coupling and moderate-spin domain. Independent off-grid solutions confirm that the parametrization retains its accuracy away from the calibration set. We further assess the model through equatorial light rings, critical impact parameters, and full two-dimensional null-geodesic ray tracing without assuming separability. The resulting shadow observables closely match those obtained from the numerical geometries. This parametrization therefore provides a practical analytical metric for geodesic and strong-field calculations without relying on a slow-rotation expansion.
Related
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BibTeX
@misc{murodov2026kerrreferenced,
title = {{Kerr-referenced analytical parametrization of rotating black holes in dynamical Chern-Simons gravity}},
author = {Sardor Murodov and Bahodir Ahmedov and Bekzod Rahmatov and Javlon Rayimbaev and Bobomurat Ahmedov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08302},
eprint = {2609.08302},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08302},
}
RIS
TY - UNPB
TI - Kerr-referenced analytical parametrization of rotating black holes in dynamical Chern-Simons gravity
AU - Sardor Murodov
AU - Bahodir Ahmedov
AU - Bekzod Rahmatov
AU - Javlon Rayimbaev
AU - Bobomurat Ahmedov
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08302
UR - https://arxiv.org/abs/2609.08302
AB - Rotating black holes in dynamical Chern-Simons gravity are known nonperturbatively mainly through numerical solutions, which limits their direct use in strong-field applications. We construct a Kerr-referenced analytical parametrization of the near-general-relativistic numerical branch using a compact radial coordinate, low-order angular multipoles, and continued fractions. The resulting two-parameter family accurately reproduces the numerical metric throughout the validated weak-coupling and moderate-spin domain. Independent off-grid solutions confirm that the parametrization retains its accuracy away from the calibration set. We further assess the model through equatorial light rings, critical impact parameters, and full two-dimensional null-geodesic ray tracing without assuming separability. The resulting shadow observables closely match those obtained from the numerical geometries. This parametrization therefore provides a practical analytical metric for geodesic and strong-field calculations without relying on a slow-rotation expansion.
ER -