Arnowitt-Deser-Misner energy and g00

For a stationary, asymptotically flat space-time the “Komar energy”, associated with the time-like Killing vector and the ADM energy are equal when the latter is evaluated on a Cauchy surface which is asymptotically at rest relative to the Killing vector. The implicationd of this result on the positivity-of-energy problem in General Relativity are discussed.