后准静态近似下的非绝热带电球演化
Nonadiabatic charged spherical evolution in the postquasistatic approximation
摘要：
我们应用后准静态近似，自引力球的演化的迭代方法，研究广义相对论中的耗散和带电分布的演化。我们发展非绝热分布假设的状态方程，占各向异性引起的电荷。耗散用流出或扩散近似来描述。我们匹配的内部解决方案，在noncomoving坐标，与Vaidya-Reissner-Nordström外部解决方案。两个模型被认为是：i）一个Schwarzschild壳的扩散限制; ii）Schwarzschild内部的自由流动限制。这些玩具模型告诉我们一些关于耗散和带电坍缩的性质。扩散稳定了引力坍缩，产生一个球壳，其收缩在短的特征流体动力学时间内停止。辐射的流出提供了一种更有效的能量发射机制，使整个球体上的电荷重新分布，而这种分布随着更长的流体动力学时间尺度而无限地塌陷。
英文摘要：
We apply the postquasistatic approximation, an iterative method for the evolution of self-gravitating spheres of matter, to study the evolution of dissipative and electrically charged distributions in General Relativity. We evolve nonadiabatic distributions assuming an equation of state that accounts for the anisotropy induced by the electric charge. Dissipation is described by streaming out or diffusion approximations. We match the interior solution, in noncomoving coordinates, with the Vaidya-Reissner-Nordström exterior solution. Two models are considered: i) a Schwarzschild-like shell in the diffusion limit; ii) a Schwarzschild-like interior in the free streaming limit. These toy models tell us something about the nature of the dissipative and electrically charged collapse. Diffusion stabilizes the gravitational collapse producing a spherical shell whose contraction is halted in a short characteristic hydrodynamic time. The streaming out radiation provides a more efficient mechanism for emission of energy, redistributing the electric charge on the whole sphere, while the distribution collapses indefinitely with a longer hydrodynamic time scale.
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