Improved and Perfect Actions in Discrete Gravity

Details Improved and Perfect Actions in Discrete Gravity Improved and Perfect Actions in Discrete Gravity

2009-07-24

arxiv.org/abs/0907.4323v1

Phys.Rev.D80:124030,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 2 figures

Scientific paper

10.1103/PhysRevD.80.124030

We consider the notion of improved and perfect actions within Regge calculus. These actions are constructed in such a way that they - although being defined on a triangulation - reproduce the continuum dynamics exactly, and therefore capture the gauge symmetries of General Relativity. We construct the perfect action in three dimensions with cosmological constant, and in four dimensions for one simplex. We conclude with a discussion about Regge Calculus with curved simplices, which arises naturally in this context.

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