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Attributing sense to some integrals in Regge calculus
V. M. Khatsymovsky
Regge calculus minisuperspace action in the connection representation has the form in which each term is linear over some field variable (scale of area-type variable with sign). We…
Defining some integrals in Regge calculus
V. M. Khatsymovsky
Regge calculus minisuperspace action in the connection representation has the form in which each term is linear over some field variable (scale of area-type variable with sign). We…
Independent 4-tetrahedra connection representation of Regge calculus
V. M. Khatsymovsky
We consider simplest piecewise flat manifold consisting of two identical 4-tetrahedra (call it bisimplex). General relativity action for arbitrary piecewise flat manifold can be ex…
Gravity action on discontinuous metrics
V. M. Khatsymovsky
We consider minisuperspace gravity system described by piecewise flat metric discontinuous on three-dimensional faces (tetrahedra). There are infinite terms in the Einstein action.…
Barbero-Immirzi parameter in Regge calculus
V. M. Khatsymovsky
We consider Regge calculus in the representation in terms of area tensors and self- and antiselfdual connections generalised to the case of Holst action that is standard Einstein a…