论文标题
在无质量双曲线黑洞上的klein-gordon场的地面和热状态，适用于抗死效应
Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect
论文作者
论文摘要
在$ n $维的，无质量的拓扑黑洞中，我们构建了基态和热状态的两点函数，用于一个真实，庞大的自由标量场，任意耦合到标量曲率，并与robin质量无限无限的robin边界条件一起构建。这些状态用于计算与静态轨迹的无限适当时间间隔相连的Unruh-Dewitt检测器的响应。作为一种应用，我们专注于无质量的共同耦合案例，并且从数值上表明，如果我们考虑一个四维无质量的高压黑洞，则不会发生反抗效应的效果。一方面，我们认为该结果与三维Minkowski时空中发生的结果兼容，而另一方面，我们强调，它概括了现有的结果，这些结果涉及对黑洞空位的抗死效应。
On an $n$-dimensional, massless, topological black hole with hyperbolic sections, we construct the two-point function both of a ground state and of a thermal state for a real, massive, free scalar field arbitrarily coupled to scalar curvature and endowed with Robin boundary conditions at conformal infinity. These states are used to compute the response of an Unruh-DeWitt detector coupled to them for an infinite proper time interval along static trajectories. As an application, we focus on the massless conformally coupled case and we show, numerically, that the anti-Hawking effect, which is manifest on the three-dimensional case, does not occur if we consider a four-dimensional massless hyperbolic black hole. On the one hand, we argue that this result is compatible with what happens in the three- and four dimensional Minkowski spacetime, while, on the other hand, we stress that it generalizes existing results concerning the anti-Hawking effect on black hole spacetimes.
