arXiv subjects

Boris N. Frolov

Publications and source records attributed to Boris N. Frolov.

7 recordsLinked to original sources

arXiv2020

Harrison-Zel'dovich scale invariance and the exponential decrease of the "cosmological constant" in the super-early Universe

Cosmological consequences of the Poincare-Weyl gauge theory of gravity are considered. A generalized cosmological constant depending from the Dirac scalar field is introduced. The stage of a super-early (Harrison-Zel'dovich) scale invariant Universe is considered. It is shown that while the scale factor sharply increases and demonstrates inflationary behavior, the generalized cosmological constant decreases sharply from a huge value at the beginning of the Big Bang to an extremely small value in the modern era, which solves the well-known "cosmological constant problem".

gr-qc↗

arXiv2010

Dirac's scalar field as dark energy within the frameworks of conformal theory of gravitation in Weyl-Cartan space

Equations of the conformal theory of gravity with a Dirac scalar field in a Weyl-Cartan space-time have been derived. An exact solution of the equation for a scalar field, which has kind of a decreasing exponential function, has been found. This allows to explain a significant decrease (during of the period of inflation) the energy of physical vacuum (dark energy), which has been identified with the energy of the Dirac scalar field.

gr-qc↗

arXiv2010

Interaction of the 4-rotational gauge field with orbital momentum, gravidiamagnetic effect, and orbit experiment "Gravity Probe B"

The direct interaction of the 4-rotational (Lorentzian) gauge field with the angular orbital momentum of an external field is considered. This interaction appears in a new Poincaré gauge theory of gravitation, in which tetrads are not true gauge fields, but represent some functions of the translational and 4-rotational gauge fields. The given interaction leads to a new effect: the existence of an electronic orbits precession under the action of an intensive external gravitational field (gravidiamagnetic effect), and also substantiates the existence of the direct interaction of the proper angular momentum of a gyroscope with the torsion field, which theoretically can be generated by the rotational angular momentum of the planet the Earth. The latter interaction can be detected by the experiment Gravity Probe B on the satellite orbit.

gr-qc↗

arXiv2007

On the physical field generated by rotating masses in Poincare-gauge theory of gravity

It is shown that the gauge field in Poincare-gauge theory of gravity consists in two parts: the translational gauge field (t -field), which is generated by the energy-momentum current of external fields, and the rotational gauge field (r -field), which is generated by the sum of the angular and spin momentum currents of external fields. In connection with this the physical field generating by rotating masses should exist.

gr-qc↗

arXiv2005

On foundations of Poincaré-gauged theory of gravity

Foundations of the Poincaré-gauge theory of gravity are developed. It is shown that the Poincaré-gauge field consists of two components: the translational gauge field ($t$-field), which is generated by the energy-momentum current of external fields, and the rotational gauge field ($r$-field), which is generated by the sum of the angular and spin momentum currents of external fields. Therefore, a physical field generated by the angular momentum of a rotating mass should exist.

gr-qc↗

arXiv2004

Perfect hypermomentum fluid: variational theory and equations of motion

The variational theory of the perfect hypermomentum fluid is developed. The new type of the generalized Frenkel condition is considered. The Lagrangian density of such fluid is stated, and the equations of motion of the fluid and the Weyssenhoff-type evolution equation of the hypermomentum tensor are derived. The expressions of the matter currents of the fluid (the canonical energy-momentum 3-form, the metric stress-energy 4-form and the hypermomentum 3-form) are obtained. The Euler-type hydrodynamic equation of motion of the perfect hypermomentum fluid is derived. It is proved that the motion of the perfect fluid without hypermomentum in a metric-affine space coincides with the motion of this fluid in a Riemann space.

gr-qc↗

arXiv2002

Matter with dilaton charge in Weyl-Cartan spacetime and evolution of the Universe

The perfect dilaton-spin fluid (as a model of the dilaton matter, the particles of which are endowed with intrinsic spin and dilaton charge) is considered as the source of the gravitational field in a Weyl-Cartan spacetime. The variational theory of such fluid is constructed and the dilaton-spin fluid energy-momentum tensor is obtained. The variational formalism of the gravitational field in a Weyl-Cartan spacetime ia developed in the exterior form language. The homogeneous and isotropic Universe filled with the dilaton matter as the dark matter is considered and one of the field equations is represented as Einstein-like equation which leads to the modified Friedmann-Lemaitre equation. From this equation the absence of the initial singularity in the cosmological solution follows. Also the existence of two points of inflection of the scale factor function is established, the first of which corresponds to the early stage of the Universe and the second one corresponds to the modern era when the expansion with deceleration is replaced by the expansion with acceleration. The possible equations of state for the self-interacting cold dark matter are found on the basis of the modern observational data. The inflation-like solution is obtained.

gr-qc↗