Arnowitt-Deser-Misner energy
= Arnowitt-Deser-Misner energy
{c}
{title2=$E_{ADM}$}
{wiki=ADM_formalism}
The Arnowitt-Deser-Misner energy is the asymptotic surface charge generating time translations on an asymptotically flat spatial hypersurface. In asymptotically Cartesian coordinates,
$$
E_{ADM}=\frac1{16\pi}\lim_{r\to\infty}\int_{S_r^2}n^i(\partial_jh_{ij}-\partial_ih_{jj})\,dA.
$$
= ADM energy
{c}
{synonym}