Equivalence of the Regge and Einstein equations for almost flat simplicial space-times

Details Equivalence of the Regge and Einstein equations for almost flat simplicial space-times Equivalence of the Regge and Einstein equations for almost flat simplicial space-times

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21..565b&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 6, pp.565-583

Physics

4

Scientific paper

The theory of distributions is applied to almost flat simplicial space-times. Explicit expressions are given for the first-order defects. It is shown explicitly that the Riemann tensor for an almost flat simplicial space-time contains delta-functions on the bones and derivatives of delta-functions on the 3-dimensional faces of the boundary of the space-time. The latter terms have not previously been seen in the Regge calculus. It is shown that the Regge and Hilbert actions have equal values on almost fiat simplicial space-times and that the Einstein equations lead directly to the Regge field equations.

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