Einstein Gauss-Bonnet引力中各向异性坍缩球的动力学
Dynamics of Anisotropic Collapsing Spheres in Einstein Gauss-Bonnet Gravity
摘要：
本文研究了$5D$ Einstein Gauss-Bonnet引力中绝热各向异性自引力源的动力学性质。为此，源已被视为Tolman-Bondi模型，保持在自然界中的不均匀性。在$5D$中建立了Einstein Gauss-Bonnet引力场方程、Misner-Sharp质量方程和动力学方程。详细讨论了各向异性源与Gauss-Bonnet引力场真空解的连接条件。米斯纳和夏普的方法已被应用到定义适当的时间和径向导数。此外，这些有助于制定一般的动力学方程。该方程表明，塌陷系统的质量增加与有效径向压力的增加相同的量。动力学系统保持迟滞，这意味着所考虑的系统走向引力坍缩。
英文摘要：
This paper is devoted to investigate the dynamics of the self gravitating adiabatic and anisotropic source in $5D$ Einstein Gauss-Bonnet gravity. To this end, the source has been taken as Tolman-Bondi model which preserve inhomogeneity in nature. The field equations, Misner-Sharp mass and dynamical equations have formulated in Einstein Gauss-Bonnet gravity in $5D$. The junction conditions have been explored between the anisotropic source and vacuum solution in Gauss-Bonnet gravity in detail. The Misner and Sharp approach has been applied to define the proper time and radial derivatives. Further, these helps to formulate general dynamical equations. The equations show that the mass of the collapsing system increases with the same amount as the effective radial pressure increases. The dynamical system preserve retardation which implies that system under-consideration goes to gravitational collapse.
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