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

Abstract

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.