In this paper, we describe an extremely efficient method for computing the renormalized stress-energy tensor of a quantum scalar field in spherically symmetric black hole spacetimes. The method applies to a scalar field with arbitrary field parameters. We demonstrate the utility of the method by computing the renormalized stress-energy tensor for a scalar field in the Schwarzschild black hole spacetime, applying our results to discuss the null energy condition and the semiclassical backreaction.

中文翻译：

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黑洞时空重整化应力能量张量的模式和处方

在本文中，我们描述了一种非常有效的方法，用于计算球对称黑洞时空中量子标量场的重整化应力能量张量。该方法适用于具有任意字段参数的标量字段。我们通过计算 Schwarzschild 黑洞时空中标量场的重整化应力-能量张量来证明该方法的实用性，并将我们的结果应用于讨论零能量条件和半经典反作用。