The renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909579627986944 |
|---|---|
| author | Arrechea, Julio Breen, Cormac Ottewill, Adrian Pisani, Lorenzo Taylor, Peter |
| author_facet | Arrechea, Julio Breen, Cormac Ottewill, Adrian Pisani, Lorenzo Taylor, Peter |
| contents | 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 sub-extremal and extremal Reissner-Nordström 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 semi-classical Einstein equations, demonstrating that if the RSET is considered as a static perturbation, it will either de-extremalize the black hole, or convert it into a horizonless object. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes Arrechea, Julio Breen, Cormac Ottewill, Adrian Pisani, Lorenzo Taylor, Peter General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics 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 sub-extremal and extremal Reissner-Nordström 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 semi-classical Einstein equations, demonstrating that if the RSET is considered as a static perturbation, it will either de-extremalize the black hole, or convert it into a horizonless object. |
| title | The renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2409.04528 |