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Renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes

Arrechea, Julio, Breen, Cormac, Ottewill, Adrian orcid logoORCID: 0000-0003-3293-8450, Pisani, Lorenzo and Taylor, Peter orcid logoORCID: 0000-0002-8416-6408 (2025) Renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes. Physical Review D, 111 (8). 085009. ISSN 2470-0029

Abstract
We provide a mode-sum prescription to directly compute the renormalized stress-energy tensor (RSET) for scalar fields in the Boulware vacuum. The method generalizes the recently developed extended coordinate method which was previously only applicable to Hartle-Hawking states. We exhibit the accuracy and efficiency of the method by calculating the RSET in subextremal and extremal ReissnerNordström spacetimes. We find numerical evidence for the regularity of the RSET at the extremal horizon regardless of the field mass and its coupling. We employ our numerical results of the RSET to source the semiclassical Einstein equations, demonstrating that if the RSET is considered as a static perturbation, it will either deextremalize the black hole, or convert it into a horizonless object.
Metadata
Item Type:Article (Published)
Refereed:Yes
Subjects:Mathematics
Mathematics > Mathematical analysis
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health
DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Research Institutes and Centres > Centre for Astrophysics & Relativity (CfAR)
Publisher:American Physical Society
Official URL:https://journals.aps.org/prd/abstract/10.1103/Phys...
Copyright Information:Authors
ID Code:31026
Deposited On:02 May 2025 10:58 by Gordon Kennedy . Last Modified 02 May 2025 10:58
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