A Kirchhoff-like conservation law in Regge calculus

Understand

Simplicial lattices provide an elegant framework for discrete spacetimes.

• The inherent orthogonality between a simplicial lattice and its circumcentric dual yields an austere representation of spacetime which provides a conceptually simple form of Einstein's geometric theory of gravitation.
• A sufficient understanding of simplicial spacetimes has been demonstrated in the literature for spacetimes devoid of all non-gravitational sources.
• However, this understanding has not been adequately extended to non-vacuum spacetime models.