Vacuum for a massless quantum scalar field outside a collapsing shell in anti-de Sitter space-time
Vacuum for a massless quantum scalar field outside a collapsing shell in anti-de Sitter space-time
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反德西特时空中塌陷壳外无质量量子标量场的真空
DOI：
10.1007/s10714-016-2098-2
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发表时间：
2016
影响因子：
2.8
通讯作者：
Abel P
中科院分区：
文献类型：
--
作者：
Abel P
本文考虑二维时空中的无质量量子标量场，它描述一个薄壳物质坍缩形成一个Schwarzschild-anti-de Sitter黑洞。在早期，在壳开始坍缩之前，量子场处于真空状态，对应于永恒黑洞时空上的Boulware真空。标量场在反德西特边界上满足反射边界条件。利用Davies-Fulling-Unruh公式计算应力-能量张量的重整化期望值，我们发现黑洞在后期与霍金温度的热浴处于热平衡，因此量子场处于类似于永恒黑洞时空上的Hartle-Hawking真空的状态。
We consider a massless quantum scalar field on a two-dimensional space–time describing a thin shell of matter collapsing to form a Schwarzschild-anti-de Sitter black hole. At early times, before the shell starts to collapse, the quantum field is in the vacuum state, corresponding to the Boulware vacuum on an eternal black hole space–time. The scalar field satisfies reflecting boundary conditions on the anti-de Sitter boundary. Using the Davies–Fulling–Unruh prescription for computing the renormalized expectation value of the stress–energy tensor, we find that at late times the black hole is in thermal equilibrium with a heat bath at the Hawking temperature, so the quantum field is in a state analogous to the Hartle–Hawking vacuum on an eternal black hole space–time.