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We give an explicit expression for gravitational energy, written solely in terms of physical spacetime geometry, which (in suitable limits) agrees with the total Arnowitt-Deser-Misner and Trautman-Bondi-Sachs energies for asymptotically flat spacetimes and with the Abbott-Deser energy for asymptotically anti--de Sitter spacetimes. Our expression is a boundary value of the standard gravitational Hamiltonian. Moreover, although it stands alone as such, we derive the expression by picking the zero-point of energy via a ``light-cone reference.''
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Stephen R. Lau (1999) studied this question.
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