2007/09/04 by Ozgur Sarioglu, Bayram Tekin, Sarioglu, Ozgur +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.0709.0407
v2: 7 pages, no figures, REVTeX4; Major revision including the change in the title, the focus is now only on the D=4 case
arxiv created 2008/02/14 · arxiv updated 2009/12/01
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.