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

摘要

We provide a direct proof for the positivity of the Chen-Nester-Tung quasi-local energy with analytic reference in spherical symmetry. A hoop-type theorem for this energy is also established. Furthermore, in spherical symmetry the Chen-Nester-Tung expression with 'best matched' reference gives results equivalent to those of Brown-York, and thus also shares the Shi-Tam positivity and hoop properties.