{"paper":{"title":"Generally covariant Fresnel equation and the emergence of the light cone structure in linear pre-metric electrodynamics","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Friedrich W. Hehl, Guillermo F. Rubilar, Yuri N. Obukhov","submitted_at":"2001-09-04T15:38:48Z","abstract_excerpt":"We study the {\\em propagation of electromagnetic waves} in a spacetime devoid of a metric but equipped with a {\\em linear} electromagnetic spacetime relation $H\\sim\\chi\\cdot F$. Here $H$ is the electromagnetic excitation $({\\cal D},{\\cal H})$ and $F$ the field strength $(E,B)$, whereas $\\chi$ (36 independent components) characterizes the electromagnetic permittivity/permeability of spacetime. We derive analytically the corresponding Fresnel equation and show that it is always quartic in the wave covectors. We study the `Fresnel tensor density' ${\\cal G}^{ijkl}$ as (cubic) function of $\\chi$ an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0109012","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0109012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}