{"paper":{"title":"Unconstrained degrees of freedom for gravitational waves, $\\beta$--foliations and spherically symmetric initial data","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jacek Jezierski, Jerzy Kijowski","submitted_at":"2005-01-25T12:22:41Z","abstract_excerpt":"A new parameterization of unconstrained degrees of freedom for gravitational field, used in Classical and Quantum Gravity {\\bf 11}, 1055-1068 (1994), has been generalized to one-parameter family of such parameterizations, depending on a real parameter $\\beta \\in [0,2]$. The description introduced in CQG 11, 1055 corresponds to the special choice $\\beta=0$. The method is closely related to the proof of the positivity of the energy presented in Phys. Rev. D {\\bf 36}, 1041-1044 (1987) where $\\beta$-foliations have been introduced (see also applications to black holes dynamics in Classical and Qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0501073","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"}