Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-09-04
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v2: 7 pages, no figures, REVTeX4; Major revision including the change in the title, the focus is now only on the D=4 case
Scientific paper
We show that gravitational energy expression simplifies when a new set of coordinates that satisfies a certain asymptotic gauge condition is used. Compared to the ADM formula, positivity of the energy is more transparent in this new construction. Our proof relies on the asymptotic symmetries (specifically supertranslations) of the asymptotically flat spacetimes at spatial infinity in four dimensions.
Sarioglu Ozgur
Tekin Bayram
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