Phys. Rev. D 106, 065023 (2022) - Mode-sum prescription for the renormalized stress energy tensor on black hole spacetimes

Mode-sum prescription for the renormalized stress energy tensor on black hole spacetimes

Peter Taylor, Cormac Breen, and Adrian Ottewill

Phys. Rev. D 106, 065023 – Published 30 September 2022

Abstract

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.

Received 28 April 2022
Accepted 14 September 2022

DOI:https://doi.org/10.1103/PhysRevD.106.065023

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum aspects of black holes Quantum fields in curved spacetime Renormalization

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Center for Astrophysics and Relativity, School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Ireland

Cormac Breen ^†

School of Mathematical Sciences, Technological University Dublin, Grangegorman, Dublin 7, Ireland

Adrian Ottewill ^‡

School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland

^*peter.taylor@dcu.ie
^†cormac.breen@tudublin.ie
^‡adrian.ottewill@ucd.ie

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Issue

Vol. 106, Iss. 6 — 15 September 2022

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