In this work we analyse the backreaction of a quantum field on a spherically symmetric black hole geometry with an inner horizon, i.e. an internal boundary of the trapped region. We start with a black hole background with an inner horizon which remains static after its formation. We quantise a massless scalar field on it and calculate its renormalised stress–energy tensor in the Polyakov approximation. We use this tensor as a source of perturbation on top of the background spacetime. We find that the inner horizon has a tendency to evaporate outward much more quickly than the outer one evaporates inward through the Hawking effect. This suggests a revised picture of a semiclassically self-consistent evaporation in which the dominant dynamical effect comes from the inner horizon, the cause of which can be seen as an interplay between the well-known unstable nature of this horizon and a locally negative energy contribution from the quantum vacuum. We also look at backreaction on backgrounds which resemble gravitational collapse, where the inner horizon moves towards the origin. There we find that, depending on the nature of the background dynamics, horizon-related semiclassical effects can become dominant and invert the collapse.

在这项工作中，我们分析了具有内部视界的球对称黑洞几何结构上的量子场的反向反应，即被困区域的内部边界。我们从一个黑洞背景开始，它的内部视界在形成后保持静止。我们在其上量化一个无质量标量场，并在 Polyakov 近似中计算其重整化应力-能量张量。我们使用这个张量作为背景时空之上的扰动源。我们发现内部地平线向外蒸发的速度比外部地平线通过霍金效应向内蒸发的速度要快得多。这表明了半经典自洽蒸发的修正图，其中主要的动力效应来自内部地平线，其原因可以被视为这一视界众所周知的不稳定性质与量子真空的局部负能量贡献之间的相互作用。我们还研究了类似引力坍缩的背景上的反向反应，其中内部地平线向原点移动。在那里我们发现，根据背景动态的性质，与视界相关的半经典效应可能会占主导地位并逆转崩溃。