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arXiv 2108.02735hep-thgr-qc
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环境中的大$D$黑洞

Large $D$ Black Holes in an environment

Taniya Mandal, Arunabha Saha

摘要:

在$D$大极限下,我们构造了物质存在下的爱因斯坦方程的动态黑洞解。我们所考虑的物质应力张量是弱的,因为它们是具有$\mathcal{O}(D^0)$量级内曲率的渐近时空的源。除此之外,我们只需要一个通用的应力张量,应力张量满足守恒方程。根据时空中膜传播的对偶非引力图像,得到了黑洞解,该图像等价于黑洞的渐近线。得到了$1/D$中第二子导阶的度量解。我们还得到了控制的双膜的$1/D$的第一次领先的顺序。

英文摘要:

We construct dynamical black hole solutions to Einstein Equations in presence of matter in the large $D$ limit. The matter stress tensors that we consider are weak in the sense that they source asymptotic spacetimes with internal curvatures of the order of $\mathcal{O}(D^0)$. Apart from this, we work with a generic stress tensor demanding only that the stress tensor satisfies the conservation equations. The black hole solutions are obtained in terms of the dual non-gravitational picture of membranes propagating in spacetimes equivalent to the asymptotes of the black holes. We obtain the metric solutions to the second sub-leading order in $1/D$. We also obtain the equations governing the dual membranes up to the first sub-leading order in $1/D$.

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