Dark Matter as a Result of Field Oscillations in the Modified Theory of Induced Gravity

Abstract

The paper studies the modified theory of induced gravity (MTIG). The solutions of the MTIG equations contain two branches (stages): Einstein (ES) and “restructuring” (RS). Previously, solutions were found that the values of such parameters as the “Hubble parameter”, gravitational and cosmological “constants” at the RS stage, fluctuate near monotonously developing mean values. This article gives MTIG equations with arbitrary potential. Solutions of the equations of geodesic curves are investigated for the case of centrally symmetric space and quadratic potential at the RS stage. The oscillatory nature of the solutions leads to the appearance of a gravitational potential containing a spectrum of minima, as well as to antigravity, which is expressed by acceleration directed from the center. Such solutions lead to the distribution of the potential of the gravitational field creating an additional mass effect at large distances and are well suited for modeling the effect of dark matter in galaxies. The solutions of the equation of geodesic lines are obtained and analyzed. We found that the transition from flat asymptotics to oscillatory asymptotics at large distances from the center with a combination of the presence of antigravity zones leads to a rich variety of shapes and dynamics of geodesic curves and to the formation of complex structures.

Extended Field Interactions in Poisson’s Equation Revision

“…This result provides insight into the behavior of the gravitational potential in a system where the radial component of the vorticity is assumed to vary inversely with the distance from the center of the system. A similar result was obtained in the work of Farkhat Zaripov [25] in the context of dark matter models, where the gravitational potential's characteristics were explored within the framework of modified gravity theories. Zaripov's research, akin to this study, underscores the intricate relationship between field oscillations and gravitational effects, highlighting the adaptability and comprehensiveness of these theoretical frameworks within astrophysical settings.…”

Quantum-Gravity Screening Effect of the Cosmological Constant in the DeSitter Space–Time

“…Concerning in particular the problems of the cosmological constant and the large-scale structure of the universe, a proper comparison among them can only be based on observations, i.e., the application of such theories to the description of observational data. The issue is important primarily for resolving existing questions in cosmology and astronomy, like for example the problems of dark matter and dark energy, for which conclusions and particular solutions applying to the DeSitter space-time might provide a relevant framework [12,13].…”