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arXiv 1008.0695gr-qc
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带电平面对称引力坍缩的动力学

Dynamics of Charged Plane Symmetric Gravitational Collapse

M. Sharif, Aisha Siddiqa

摘要:

本文研究带电平面对称引力坍缩的动力学。为此,我们讨论了粘性流体的非绝热流动,并推导了绝热情况下的结果。爱因斯坦场方程和麦克斯韦场方程是在一般平面对称时空的内部制定。内部和外部区域之间的交界处的条件。对于非绝热情形,外部空间用平面对称带电Vaidya时空描述,而对于绝热情形,外部空间用平面Reissner-Nordstr $\ddot{o}$ m时空描述.使用Misner和Sharp形式,我们得到的动力学方程,研究不同的力对崩溃率的影响。在非绝热情况下,将热通量输运方程与动力学方程结合起来。最后,找到了外尔张量与能量密度之间的关系。

英文摘要:

In this paper, we study dynamics of the charged plane symmetric gravitational collapse. For this purpose, we discuss non-adiabatic flow of a viscous fluid and deduce the results for adiabatic case. The Einstein and Maxwell field equations are formulated for general plane symmetric spacetime in the interior. Junction conditions between the interior and exterior regions are derived. For the non-adiabatic case, the exterior is taken as plane symmetric charged Vaidya spacetime while for the adiabatic case, it is described by plane Reissner-Nordstr$\ddot{o}$m spacetime. Using Misner and Sharp formalism, we obtain dynamical equations to investigate the effects of different forces over the rate of collapse. In non-adiabatic case, a dynamical equation is joined with transport equation of heat flux. Finally, a relation between the Weyl tensor and energy density is found.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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