{"paper":{"title":"A Class of Einstein-Maxwell Fields Generalizing the Equilibrium Solutions","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Zolt\\'an Perj\\'es","submitted_at":"2000-03-28T16:01:19Z","abstract_excerpt":"The Einstein-Maxwell fields of rotating stationary sources are represented by the SU(2,1) spinor potential $\\Psi_A$ satisfying \\[ \\nabla \\cdot [\\Theta ^{-1}(\\Psi_A\\nabla \\Psi_B-\\Psi_B\\nabla \\Psi_A)]=-2\\Theta ^{-2}\\vec{C}\\cdot (\\Psi_A\\nabla \\Psi_B-\\Psi_B\\nabla \\Psi_A) \\] where $\\Theta =\\Psi ^{\\dagger }\\cdot \\Psi $ is the SU(2,1) norm of $\\Psi $% . The Ernst potentials are expressed in terms of the spinor potential by $% {\\cal E}=\\frac{\\Psi_1-\\Psi _2}{\\Psi_1+\\Psi_2}$, $\\Phi =\\frac{\\Psi_3}{% \\Psi_1+\\Psi_2}$ . The group invariant vector $\\vec{C}=-2i\\func{Im}\\{\\Psi ^{\\dagger}\\cdot \\nabla \\Psi \\}$ i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0003102","kind":"arxiv","version":1},"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"}