We assume that Type Ia supernovae (SNe Ia) are standard candles which one could use to
test cosmological theories. The Hubble Space Telescope team analyzed 186 SNe Ia1 to test …

The General Relativity formulated with the aid of the spin connection coefficients is
considered in the finite space geometry of similarity with the Dirac scalar dilaton. We show …

This review is devoted to problems of defining the reference frames in the tetrad formalism of
General Relativity. Tetrads are the expansion coefficients of components of an orthogonal …

The Hamiltonian approach to the General Relativity is formulated as a joint nonlinear
realization of conformal and affine symmetries by means of the Dirac scalar dilaton and the …

The Hamiltonian approach to cosmological perturbations in general relativity in finite space–
time is developed, where a cosmological scale factor is identified with spatial averaging the …

The Hamiltonian formulation of general relativity is considered in finite space–time and a
specific reference frame given by the diffeo-invariant components of the Fock simplex in …

In spite of an enormous progress of standard ΛCDM cosmology (SC) a number of alternative
approaches has been suggested because there are great puzzles with an origin and …

Abstract General Relativity and Standard Model are formulated in terms of scale-invariant
variables where the initial data are integrals of motion. In this case, the Hubble law can be …

A concept of dark matter (DM) is introduced. As for other anomalies, we describe two ways to
solve DM problem, namely a conservative way when we have to find substances with DM …

Approaches to solutions of problems of the energy, time, Hamiltonian operator quantization
of the General Relativity, the creation of the Universe from vacuum are considered in the …