Author ORCID Identifier
Document Type
Article
Disciplines
1.1 MATHEMATICS, Applied mathematics
Abstract
In this paper, we consider a quantum scalar field propagating on the Reissner-Nordström black hole spacetime. We compute the renormalized stress-energy tensor for the field in the Hartle-Hawking, Boulware and Unruh states. When the field is in the Hartle-Hawking state, we renormalize using the recently developed “extended coordinate” prescription. This method, which relies on Euclidean techniques, is very fast and accurate. Once, we have renormalized in the Hartle-Hawking state, we compute the stress-energy tensor in the Boulware and Unruh states by leveraging the fact that the difference between stress-energy tensors in different quantum states is already finite. We consider a range of coupling constants and masses for the field and a range of electric charge values for the black hole, including near-extreme values. Lastly, we compare these results with the analytic approximations available in the literature.
DOI
https://doi.org/10.1103/PhysRevD.108.125004
Recommended Citation
Renormalized stress-energy tensor for scalar fields in Hartle-Hawking, Boulware, and Unruh states in the Reissner-Nordström spacetime Julio Arrechea, Cormac Breen, Adrian Ottewill, and Peter Taylor Physical Review D 108, 125004 (2023)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Applied Mathematics Commons, Elementary Particles and Fields and String Theory Commons, Mathematics Commons
Publication Details
Physical Review D 108, 125004 (2023)
https://doi.org/10.1103/PhysRevD.108.125004