 Arnowitt-Deser-Misner energy

ID: arnowitt-deser-misner-energy

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Codex  0 Created 2026-09-24 Updated 2026-09-24

The Arnowitt-Deser-Misner energy is the asymptotic surface charge generating time translations on an asymptotically flat spatial hypersurface. In asymptotically Cartesian coordinates,

E_{A D M} = \frac{1}{16 π} lim_{r \to \infty} \int_{S_{r}^{2}} n^{i} (\partial_{j} h_{ij} - \partial_{i} h_{jj}) d A .

(1)

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