AI 中文总结
本文在修正相对论动力学框架下，研究球对称静态时空中黑洞阴影参数，考虑黑洞被常密度重子物质晕包围并引入均匀等离子体背景，计算阴影半径及对耦合参数的依赖，还计算了基本准正则模频率并做时域积分分析。
AI 中文摘要
在爱因斯坦 - 希尔伯特拉格朗日量中引入形如$\lambda \mathbf{T} \cdot \mathbf{C} \cdot \mathbf{T}$的附加项来解释物质与纯引力场的相互作用，即修正相对论动力学（MORD）。本文在MORD框架下估计球对称静态时空中黑洞的阴影参数。首先假设黑洞被常密度重子物质晕包围，接着引入均匀等离子体背景扩展分析。计算了不同黑洞质量的阴影半径及其对WIG耦合参数$\lambda$的依赖。此外，在测试场近似下计算了基本准正则模（QNM）频率并进行时域积分分析。
英文摘要
An additional term of the form $λ\mathbf{T} \cdot \mathbf{C} \cdot \mathbf{T}$ in the Einstein-Hilbert Lagrangian was introduced to explain the interaction between matter and pure gravitational field [H. W. Lee and A. Qadir, Motion of test particle for Weyl-interaction gravity, {\it Int. Jour. Mod. Phys. D} {\bf 28}(16) (2019) 2040014], the modified relativistic dynamics (MORD). In this paper, we estimate the shadow parameters of black hole in a spherically symmetric static spacetime within the MORD framework. As a first approximation, we assume that the black hole is surrounded by a constant-density baryonic matter halo. The analysis is then extended by introducing a homogeneous plasma background. We compute the shadow radii for various black hole masses and analyze their dependence on the WIG coupling parameter $λ$. In addition, we compute the fundamental quasi-normal mode (QNM) frequencies under test-field approximation, and perform a time-domain integration analysis.
Comments24 pages, 7 figures, accepted in the International Journal of Geometric Methods in Modern Physics (IJGMMP)
