Some Estimates of Wang-yau Quasilocal Energy


Given a spacelike 2-surface Σ in a spacetime N and a constant future timelike unit vector T0 in R 3,1 , we derive upper and lower estimates of Wang-Yau quasilocal energy E(Σ, X, T0) for a given isometric embedding X of Σ into a flat 3-slice in R 3,1 . The quantity E(Σ, X, T0) itself depends on the choice of X , however the infimum of E(Σ, X, T0) over T0… (More)