摘要
In this study,we develop a modeling framework based on spatio-temporal generalized random fields to simulate the time-evolving accretion flows and their associated imaging signatures around rotating regular black holes.We extend the Matérn field formalism to the spatio-temporal domain and introduce a locally anisotropic tensor structureΛ(x),which encodes direction-dependent correlation scales motivated by Keplerian velocity fields,thereby generating physically informed perturbation structures.Coupled with a computationally efficient light ray-tracing scheme,this framework produces a sequence of time-resolved images of regular black hole shadows and accretion structures.By incorporating light-travel time effects,we identify significant temporal smearing of features within strongly lensed regions and rapidly varying sources,thus enhancing the physical realism of the modeling.Comparison with existing general relativistic magnetohydrodynamic simulations demonstrates that our stochastic generative model maintains statistical consistency while offering substantial computational efficiency.Moreover,the simulated results reproduce the dynamic positional shift of the bright ring structure observed in M87*,providing theoretical support for interpreting its time-variable images.
基金
supported by the National Natural Science Foundation of China(Grant No.12133003)
the Fapesq-PB of Brazil
the Fund Project of Chongqing Normal University(Grant No.24XLB033)
the Key Project of Sichuan Science and Technology Education Joint Fund(Grant No.25LHJJ0097)。
