{"paper":{"title":"Wang and Yau's Quasi-Local Energy for an Extreme Kerr Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mu-Tao Wang, Shannon Ray, Shing-Tung Yau, Warner A. Miller","submitted_at":"2017-08-24T19:26:08Z","abstract_excerpt":"There exist constant radial surfaces, $\\mathcal{S}$, that may not be globally embeddable in $\\mathbb{R}^3$ for Kerr spacetimes with $a>\\sqrt{3}M/2$. To compute the Brown and York (B-Y) quasi-local energy (QLE), one must isometrically embed $\\mathcal{S}$ into $\\mathbb{R}^3$. On the other hand, the Wang and Yau (W-Y) QLE embeds $\\mathcal{S}$ into Minkowski space. In this paper, we examine the W-Y QLE for surfaces that may or may not be globally embeddable in $\\mathbb{R}^3$. We show that their energy functional, $E[\\tau]$, has a critical point at $\\tau=0$ for all constant radial surfaces in $t=co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07532","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"}