Renormalized stress-energy tensor for stationary black holes

Abstract

We continue the presentation of the pragmatic mode-sum regularization (PMR) method for computing the renormalized stress-energy tensor (RSET). We show in detail how to employ the $t$-splitting variant of the method, which was first presented for ${⟨{\varphi }^2⟩}_{ren}$, to compute the RSET in a stationary, asymptotically-flat background. This variant of the PMR method was recently used to compute the RSET for an evaporating spinning black hole. As an example for regularization, we demonstrate here the computation of the RSET for a minimally-coupled, massless scalar field on Schwarzschild background in all three vacuum states. We discuss future work and possible improvements of the regularization schemes in the PMR method.

arXiv comment16 pages, 7 figures. V2: Updated to match journal version

References in corpus (5)

• Quantum Field Theory on Spacetimes with a Compactly Generated Cauchy Horizon
• Versatile method for renormalized stress-energy computation in black-hole spacetimes
• Pragmatic mode-sum regularization method for semiclassical black-hole spacetimes
• Mode-sum regularization of $⟨{\varphi }^2⟩$ in the angular-splitting method
• A Mode-Sum Prescription for Vacuum Polarization in Odd Dimensions

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