Einstein's Equations in Electromagnetic Media
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908922440318976 |
|---|---|
| author | Erkul, Eren Erberk Leonhardt, Ulf |
| author_facet | Erkul, Eren Erberk Leonhardt, Ulf |
| contents | In this paper, we extend Plebanski's mapping to encode the Einstein equations in ADM form within a bianisotropic electromagnetic medium. We realise this by translating the ADM constraints and evolution equations into dynamical conditions on the medium's constitutive parameters. These transformed equations are then linearised in vacuum to derive gravitational-wave analogues as perturbations of the optical medium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Einstein's Equations in Electromagnetic Media Erkul, Eren Erberk Leonhardt, Ulf General Relativity and Quantum Cosmology In this paper, we extend Plebanski's mapping to encode the Einstein equations in ADM form within a bianisotropic electromagnetic medium. We realise this by translating the ADM constraints and evolution equations into dynamical conditions on the medium's constitutive parameters. These transformed equations are then linearised in vacuum to derive gravitational-wave analogues as perturbations of the optical medium. |
| title | Einstein's Equations in Electromagnetic Media |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.11300 |