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Phys. Rev. D 60, 104034 (1999) [4 pages]

Light-cone reference for total gravitational energy

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Stephen R. Lau*
Theoretical Astrophysics and Relativity Group, Department of Physics and Astronomy, University of North Carolina, CB# 3255 Phillips Hall, Chapel Hill, North Carolina 27599-3255
Applied Mathematics Group, Department of Mathematics, University of North Carolina, CB# 3250 Phillips Hall, Chapel Hill, North Carolina 27599-3250

Received 11 March 1999; published 26 October 1999

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.”

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.104034
DOI:
10.1103/PhysRevD.60.104034
PACS:
04.20.Ha

*Email address: lau@math.unc.edu