含剪切与各向异性的带电辐射坍缩动力学
Dynamics of Charged Radiating Collapse with Shear and Anisotropy
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中文总结 AI 辅助
在爱因斯坦-麦克斯韦框架下，研究含剪切与热流的带电各向异性辐射恒星坍缩，得到Riccati型微分方程的精确解，验证了其物理性质、稳定性及复杂度因子，为该坍缩模型提供了全面描述。
中文摘要 AI 辅助
我们在爱因斯坦-麦克斯韦框架下，研究了存在剪切与热流的带电各向异性辐射恒星结构的引力坍缩过程。内部时空由随时间变化的球对称几何描述，并与外部带电Vaidya时空匹配。电磁场通过麦克斯韦方程明确引入，使电荷对物质变量、质量函数及边界演化产生贡献。通过适当变换，带电衔接条件被简化为Riccati型微分方程，并得到精确解。我们通过能量密度、径向与切向压强、压强各向异性、热流、电荷、能量条件、声速、Herrera开裂判据及复杂度因子，检验了所得剪切解的物理性质。能量密度与径向压强保持正值并向恒星表面递减，而切向压强保持负值，证实了该结构的各向异性特征。热输运与电磁效应在恒星内部区域最强。能量条件与因果条件均得到满足。开裂函数表明该结构具有潜在的抗开裂稳定性。复杂度因子保持正值，电荷除压强各向异性、密度不均匀性及耗散热流外，还提供了额外贡献。这些结果为带电剪切辐射坍缩模型的物理行为与内部结构提供了全面描述。
英文摘要
We investigate a charged anisotropic radiating stellar configuration undergoing gravitational collapse in the presence of shear and heat flux within the Einstein Maxwell framework. The interior spacetime is described by a time dependent spherically symmetric geometry and is matched to an exterior charged Vaidya spacetime. The electromagnetic field is incorporated explicitly through Maxwell equations, allowing the electric charge to contribute to the matter variables, mass function, and boundary evolution. The charged junction condition is reduced to a Riccati type differential equation with suitable transformations and exact solution is obtained. The physical properties of the resulting shearing solution are examined through the energy density, radial and tangential pressures, pressure anisotropy, heat flux, electric charge, energy conditions, sound speeds, Herrera cracking criterion, and complexity factor. The energy density and radial pressure remain positive and decrease towards the stellar surface, whereas the tangential pressure remains negative, confirming the anisotropic character of the configuration. Heat transport and electromagnetic effects are strongest in the inner stellar region. The energy and causality conditions are satisfied. The cracking function indicates potential stability against cracking. The complexity factor remains positive, with electric charge providing an additional contribution alongside pressure anisotropy, density inhomogeneity, and dissipative heat flux. These results provide a comprehensive picture of the physical behavior and internal structure of the charged shearing radiative collapse model.
