Einstein's equations in electromagnetic media
EPL, vol.154, no.1, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Letter
- Volume: 154 Issue: 1
- Publication Date: 2026
- Doi Number: 10.1209/0295-5075/ae58cf
- Journal Name: EPL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, INSPEC, Linguistic Bibliography, zbMATH
- Middle East Technical University Affiliated: Yes
Abstract
In this paper, we extend Plebanski's mapping to encode the Einstein equations in Arnowitt-Deser-Misner (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.