Bayesian Inference of Primary Hair from Black Hole Shadows in Generalized Proca Theory
Abstract
We investigate black hole shadows and observational constraints on primary vector hair in an exact rotating solution of generalized Proca theory. Selecting a coupling slice yields a simple, one-parameter Kerr deformation that is noncircular and depends on spin and latitude. The deformation vanishes in the nonrotating limit, while the vector field remains nontrivial. We determine the domain admitting a regular outer horizon and construct shadow and lensing images by numerical ray tracing. Ray-traced images show a modest enlargement of the shadow and changes in the surrounding lensing pattern. Bayesian inference using the shadow area-equivalent radius and axis ratio yields joint constraints on hair, spin, and viewing inclination from Event Horizon Telescope observations of M87* and Sgr A*. The M87* posterior favors relatively low spin and exhibits a pronounced spin--hair anticorrelation, while Sgr A* yields upper limits on spin and hair with its inclination remaining essentially unconstrained. These results connect the optical signatures of primary vector hair to quantitative horizon-scale constraints.
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BibTeX
@misc{she2026bayesian,
title = {{Bayesian Inference of Primary Hair from Black Hole Shadows in Generalized Proca Theory}},
author = {Jiao-Zhen She and Shu-Min Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24996},
eprint = {2610.24996},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24996},
}
RIS
TY - UNPB
TI - Bayesian Inference of Primary Hair from Black Hole Shadows in Generalized Proca Theory
AU - Jiao-Zhen She
AU - Shu-Min Wu
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2610.24996
UR - https://arxiv.org/abs/2610.24996
AB - We investigate black hole shadows and observational constraints on primary vector hair in an exact rotating solution of generalized Proca theory. Selecting a coupling slice yields a simple, one-parameter Kerr deformation that is noncircular and depends on spin and latitude. The deformation vanishes in the nonrotating limit, while the vector field remains nontrivial. We determine the domain admitting a regular outer horizon and construct shadow and lensing images by numerical ray tracing. Ray-traced images show a modest enlargement of the shadow and changes in the surrounding lensing pattern. Bayesian inference using the shadow area-equivalent radius and axis ratio yields joint constraints on hair, spin, and viewing inclination from Event Horizon Telescope observations of M87* and Sgr A*. The M87* posterior favors relatively low spin and exhibits a pronounced spin--hair anticorrelation, while Sgr A* yields upper limits on spin and hair with its inclination remaining essentially unconstrained. These results connect the optical signatures of primary vector hair to quantitative horizon-scale constraints.
ER -