Areal objects and the problem of the λ term in the theory of gravitation

The following areal objects are considered: an ether thread contracting two material points and a multidimensional ether fibre in the pseudo-Euclidean world of events. An ether space-time model with an arbitrarily determined Riemannian metric is constructed and the problem of the λ term in Einstein equations is discussed in this regard.     

Boundary-value problem for minimum surface in the three-dimensional Minkowski world

A system of two relativistic equations is derived to describe the plane motion of two identical bodies with a linear interaction potential. The boundary-value problem for the minimum surface in the Minkowski world leads to this system. The nonrelativistic limit is considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 91–93, July, 1981.     

Determination of the Lobachevski constant for the visible universe from the motion of planets and photons

Numerical estimates of the Lobachevski constant within the framework of the theory of gravitation with background connectivity are obtained on the basis of experimental data. The relationship between the Hubble constant and the two Lobachevski constants — for the visible universe andc for velocity space — is discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 26–30, January, 1996.     

Energy-momentum tensor of areal objects in the Riemannian spacetime

The energy-momentum tensor of areal objects in the Riemannian world is considered. These objects are called aether fibres and appear as elements—constituents of a specific matter called the aether one.     

Logunov's RTG in the Light of the Affine Connection Geometry

We study Logunov's theory of gravity from the standpoint of the affine connection geometry. Using the Lagrange–Hilbert variational method, we conclude that if a background metric can be introduced effectively, then the graviton mass must not be zero, but if the graviton mass is zero, then only the Christoffel connection is effective in the background metric.     

Circular relativistic motion of two identical bodies

The circular relativistic motion of two bodies is discussed as the solution of previously obtained equations with a deviating argument in which the deviation of the argument itself is an unknown function of the time. In the case of circular motion the deviation of the argument does not depend on the time and is a root of a transcendental equation derived in the article.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 46–51, December, 1983.