{"paper":{"title":"Some estimates of Wang-Yau quasilocal energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Luen-fai Tam, Naqing Xie, Pengzi Miao","submitted_at":"2009-09-04T12:42:50Z","abstract_excerpt":"Given a spacelike 2-surface $\\Sigma$ in a spacetime $N$ and a constant future timelike unit vector $T_0 $ in $\\R^{3,1}$, we derive upper and lower estimates of Wang-Yau quasilocal energy $E(\\Sigma, X, T_0)$ for a given isometric embedding $X$ of $\\Sigma$ into a flat 3-slice in $\\R^{3,1}$. The quantity $ E(\\Sigma, X, T_0) $ itself depends on the choice of $X$, however the infimum of $ E(\\Sigma, X, T_0)$ over $ T_0 $ does not. In particular, when $\\Sigma$ lies in a time symmetric 3-slice in $N$ and has nonnegative Brown-York quasilocal mass $\\mby(\\Sigma)$, our estimates show that $\\inf\\limits_{T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0880","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"}