4 citations · 5 across the 6 of their papers we have counts for
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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.…
On the possibility of finite quantum Regge calculus
V. M. Khatsymovsky
The arguments were given in a number of our papers that the discrete quantum gravity based on the Regge calculus possesses nonzero vacuum expectation values of the triangulation le…
On polinomial formulations of general relativity
V. Khatsymovsky
As basic variables in general relativity (GR) are chosen antisymmetric connection and bivectors - bilinear in tetrad area tensors subject to appropriate (bilinear) constraints. In…