Positivity and Hoop Properties for Chen-Nester-Tung Quasi-local Energy with Analytic Reference in Spherical Symmetry

Fei-Hung Ho; Naqing Xie

arxiv: 1309.1024 · v1 · pith:MFDCIL56new · submitted 2013-09-04 · 🌀 gr-qc · math-ph· math.DG· math.MP

Positivity and Hoop Properties for Chen-Nester-Tung Quasi-local Energy with Analytic Reference in Spherical Symmetry

Fei-Hung Ho , Naqing Xie This is my paper

classification 🌀 gr-qc math-phmath.DGmath.MP

keywords chen-nester-tungenergyquasi-localanalyticpositivityreferencesphericalsymmetry

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We provide a direct proof for the positivity of Chen-Nester-Tung quasi-local energy with analytic reference in spherical symmetry. A hoop-type theorem for this energy is also established. Finally, the relation between Chen-Nester-Tung and Brown-York quasi-local energies will be discussed.

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Positivity and Hoop Properties for Chen-Nester-Tung Quasi-local Energy with Analytic Reference in Spherical Symmetry

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