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Main Authors: Liu, Wentao, Liu, Yang, Wu, Di, Liu, Yu-Xiao
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.06017
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author Liu, Wentao
Liu, Yang
Wu, Di
Liu, Yu-Xiao
author_facet Liu, Wentao
Liu, Yang
Wu, Di
Liu, Yu-Xiao
contents In this Letter, we have developed a numerically efficient framework for evaluating parameters in metric theories of gravity, and applied it to constrain the horizon-scale magnetic field in the Kerr-Bertotti-Robinson (Kerr-BR) spacetime using the latest EHT observations. The method's adaptive ray-tracing strategy achieves near-linear computational efficiency without loss of numerical accuracy. Owing to this efficiency, the framework enables high precision shadow modeling at minimal computational cost and, for the first time, supports statistically robust inference of black hole parameters from horizon-scale observations for arbitrary stationary black holes. The above framework is applied to the recently obtained Kerr-BR black hole, an exact magnetized and rotating solution to the Einstein field equations. We have evaluated the horizon-scale magnetic fields of M87* and Sgr A*, with the latter showing a field strength of $93.3^{+14.7}_{-23.8}G$, consistent with the equipartition estimate of $71G$ from polarized ALMA observations, thereby supporting Einstein's gravity.
format Preprint
id arxiv_https___arxiv_org_abs_2511_06017
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows
Liu, Wentao
Liu, Yang
Wu, Di
Liu, Yu-Xiao
General Relativity and Quantum Cosmology
In this Letter, we have developed a numerically efficient framework for evaluating parameters in metric theories of gravity, and applied it to constrain the horizon-scale magnetic field in the Kerr-Bertotti-Robinson (Kerr-BR) spacetime using the latest EHT observations. The method's adaptive ray-tracing strategy achieves near-linear computational efficiency without loss of numerical accuracy. Owing to this efficiency, the framework enables high precision shadow modeling at minimal computational cost and, for the first time, supports statistically robust inference of black hole parameters from horizon-scale observations for arbitrary stationary black holes. The above framework is applied to the recently obtained Kerr-BR black hole, an exact magnetized and rotating solution to the Einstein field equations. We have evaluated the horizon-scale magnetic fields of M87* and Sgr A*, with the latter showing a field strength of $93.3^{+14.7}_{-23.8}G$, consistent with the equipartition estimate of $71G$ from polarized ALMA observations, thereby supporting Einstein's gravity.
title A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.06017