33 citations · 217 across the 56 of their papers we have counts for
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Discrete gravitational diagram technique and corrections to the Newtonian potential
V. M. Khatsymovsky
Starting from simplicial Regge gravity, we use a bell-shaped form of the measure obtained using functional integration over connection. A "hypercubic" structure is considered (some…
Towards the consistent perturbative expansion in discrete gravity
V. M. Khatsymovsky
We consider correctly defining the perturbative expansion in a discrete gravity (simplicial or Regge calculus) needed to study physical effects like graviton loop corrections to Ne…
On the gravitational diagram technique in the discrete setup
V. M. Khatsymovsky
This article is in the spirit of our work on the consequences of the Regge calculus, where some edge length scale arises as an optimal initial point of the perturbative expansion a…
On the discrete version of the Reissner-Nordström solution
V. M. Khatsymovsky
This paper generalizes our previous paper on the discrete Schwarzschild type solution in the Regge calculus, the simplicial electrodynamics earlier considered in the literature is…
On the discrete version of the Kerr geometry
V. M. Khatsymovsky
A Kerr type solution in the Regge calculus is considered. It is assumed that the discrete general relativity, the Regge calculus, is quantized within the path integral approach. Th…
On the Kerr metric in a synchronous reference frame
V. M. Khatsymovsky
The Kerr metric is considered in a synchronous frame of reference obtained by using proper time and initial conditions for particles that freely move along a certain set of traject…
On the discrete version of the Schwarzschild problem
V. M. Khatsymovsky
We consider a Schwarzschild type solution in the discrete Regge calculus formulation of general relativity quantized within the path integral approach. Earlier, we found a mechanis…
On the discrete version of the black hole solution
V. M. Khatsymovsky
A Schwarzschild type solution in Regge calculus is considered. Earlier, we considered a mechanism of loose fixing of edge lengths due to the functional integral measure arising fro…
On the discrete Christoffel symbols
V. M. Khatsymovsky
The piecewise flat spacetime is equipped with a set of edge lengths and vertex coordinates. This defines a piecewise affine coordinate system and a piecewise affine metric in it, t…
Discrete Faddeev action for the tetrad fields strongly varying along different coordinates
V. M. Khatsymovsky
Faddeev gravity using a -dimensional tetrad (normally ) is classically equivalent to general relativity (GR). The discrete Faddeev gravity on the piecewise flat spacetim…
On the non-perturbative graviton propagator
V. M. Khatsymovsky
To reduce general relativity to the canonical Hamiltonian formalism and construct the path (functional) integral in a simpler and, especially in the discrete case, less singular wa…
First order discrete Faddeev gravity at the strongly varying fields
V. M. Khatsymovsky
We consider the Faddeev formulation of general relativity (GR), which can be characterized by a kind of -dimensional tetrad (typically =10) and a non-Riemannian connection. T…
Simplicial Palatini action
V. M. Khatsymovsky
We consider the piecewise flat spacetime and a simplicial analog of the Palatini form of the general relativity (GR) action where the discrete Christoffel symbols are given on the…
GL(4,R) representation of the gravity action on the piecewise flat spacetime
V. M. Khatsymovsky
The gravity action on the piecewise flat Riemannian manifold is formulated using the discrete set of the nondegenerate 44 matrices on the 3-simplices as some connection typ…
Spectrum of area in the Faddeev formulation of gravity
V. M. Khatsymovsky
Faddeev formulation of general relativity (GR) is considered where the metric is composed of ten vector fields or a ten-dimensional tetrad. Upon partial use of the field equations,…
Affine connection form of Regge calculus
V. M. Khatsymovsky
Regge action is represented analogously to how the Palatini action for general relativity (GR) as some functional of the metric and a general connection as independent variables re…
First order minisuperspace model for the Faddeev formulation of gravity
V. M. Khatsymovsky
Faddeev formulation of general relativity (GR) is considered where the metric is composed of ten vector fields or a ten-dimensional tetrad. Upon partial use of the field equations,…
Faddeev gravity action on the piecewise constant fundamental vector fields
V. M. Khatsymovsky
In the Faddeev formulation of gravity, the metric is regarded as composite field, bilinear of 4-vector fields. We derive the minisuperspace (discrete) Faddeev action by ev…
Some minisuperspace model for the Faddeev formulation of gravity
V. M. Khatsymovsky
We consider Faddeev formulation of general relativity in which the metric is composed of ten vector fields or a tetrad. This formulation reduces to the usual general…
On the Faddeev gravity on the piecewise flat manifold
V. M. Khatsymovsky
We study the Faddeev formulation of gravity in which the metric is composed of vector fields. This system is reducible with the help of the equations of motion to the general relat…
On some feature and application of the Faddeev formulation of gravity
V. M. Khatsymovsky
In the Faddeev formulation of gravity, the metric is regarded as composite field, bilinear of 4-vector fields. A unique feature is that this formulation admits the discont…
On area spectrum in the Faddeev gravity
V. M. Khatsymovsky
We consider Faddeev formulation of gravity, in which the metric is bilinear of 4-vector fields. A unique feature of this formulation is that the action remains finite for…
Faddeev formulation of gravity in discrete form
V. M. Khatsymovsky
We study Faddeev formulation of gravity, in which the metric is composed of vector fields. We consider these fields constant in the interior of the 4-simplices of a simplicial comp…
First order representation of the Faddeev formulation of gravity
V. M. Khatsymovsky
We study Faddeev formulation of gravity, in which the metric is composed of vector fields or the tetrad of the ten-dimensional fields, , where and $A = 1, ..…