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Phys. Rev. D 39, 2258–2262 (1989)

Arnowitt-Deser-Misner energy and three-momentum for a simplicial space

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Leo Brewin
Computer Services Centre, Australian National University, GPO Box 4, Canberra, Australian Capital Territory 2601, Australia

Received 18 January 1989; published in the issue dated 15 April 1989

The theory of distributions will be used in computing the Arnowitt-Deser-Misner (ADM) energy for a finite simplicial space. A related method will be presented for the computation of the ADM three-momentum. It will be shown that the energy is proportional to the contribution to the integral curvature from the legs on the boundary of the space.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.39.2258
DOI:
10.1103/PhysRevD.39.2258
PACS:
04.90.+e, 04.20.Me