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Optimal choices of reference for a quasi-local energy
Authors:Ming-Fan Wu  Chiang-Mei Chen  Jian-Liang Liu  James M. Nester
Affiliation:a Department of Physics, National Central University, Chungli 320, Taiwan
b Center for Mathematics and Theoretical Physics, National Central University, Chungli 320, Taiwan
c Graduate Institute of Astronomy, National Central University, Chungli 320, Taiwan
Abstract:We propose a program for determining the reference for the covariant Hamiltonian boundary term quasi-local energy and test it on spherically symmetric spacetimes. For different observers the quasi-local energy can be positive, zero, or even negative, however the maximum value is positive for both the Schwarzschild and FLRW spacetimes.
Keywords:Quasi-local energy   Covariant Hamiltonian   Hamiltonian boundary term   Reference spacetime
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