Papers

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