{"paper":{"title":"Monochromatic plane-fronted waves in conformal gravity are pure gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Luca Fabbri, M. B. Paranjape","submitted_at":"2008-12-12T21:52:22Z","abstract_excerpt":"We consider plane-fronted, monochromatic gravitational waves on a Minkowski background, in a conformally invariant theory of general relativity. By this we mean waves of the form: $g_{\\mu\\nu}=\\eta_{\\mu\\nu}+\\epsilon_{\\mu\\nu}F(k\\cdotx)$, where $\\epsilon_{\\mu\\nu}$ is a constant polarization tensor, and $k_\\mu$ is a lightlike vector. We also assume the coordinate gauge condition $|g|-1/4\\partial_\\tau(|g|1/4g^{\\sigma\\tau})=0$ which is the conformal analog of the harmonic gauge condition $g^{\\mu\\nu}\\Gamma_{\\mu\\nu}^\\sigma=-|g|-1/2\\partial_\\tau(|g|1/2g^{\\sigma\\tau})=0, where $\\det[g_{\\mu\\nu}]\\equivg$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.2491","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":""},"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"}