Area Regge calculus and continuum limit

Details Area Regge calculus and continuum limit Area Regge calculus and continuum limit

2002-06-21

arxiv.org/abs/gr-qc/0206067v1

Phys.Lett. B547 (2002) 321-327

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, TeX

Scientific paper

10.1016/S0370-2693(02)02773-9

Encountered in the literature generalisations of general relativity to independent area variables are considered, the discrete (generalised Regge calculus) and continuum ones. The generalised Regge calculus can be either with purely area variables or, as we suggest, with area tensor-connection variables. Just for the latter, in particular, we prove that in analogy with corresponding statement in ordinary Regge calculus (by Feinberg, Friedberg, Lee and Ren), passing to the (appropriately defined) continuum limit yields the generalised continuum area tensor-connection general relativity.

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