Possible Origin of Antimatter Regions in the Baryon Dominated Universe

We discuss the evolution of U(1) symmetric scalar field at the inflation epoch with a pseudo Nambu-Goldstone tilt revealing after the end of exponential expansion of the Universe. The U(1) symmetry is supposed to be associated with baryon charge. It is shown that quantum fluctuations lead in natural way to baryon dominated Universe with antibaryon excess regions. The range of parameters is calculated at which the fraction of Universe occupied by antimatter and the size of antimatter regions satisfy the observational constraints, survive to the modern time and lead to effects, accessible to experimental search for antimatter.Comment: 10 pages, 1 figur

Antimatter Regions in the Early Universe and Big Bang Nucleosynthesis

We have studied big bang nucleosynthesis in the presence of regions of antimatter. Depending on the distance scale of the antimatter region, and thus the epoch of their annihilation, the amount of antimatter in the early universe is constrained by the observed abundances. Small regions, which annihilate after weak freezeout but before nucleosynthesis, lead to a reduction in the 4He yield, because of neutron annihilation. Large regions, which annihilate after nucleosynthesis, lead to an increased 3He yield. Deuterium production is also affected but not as much. The three most important production mechanisms of 3He are 1) photodisintegration of 4He by the annihilation radiation, 2) pbar-4He annihilation, and 3) nbar-4He annihilation by "secondary" antineutrons produced in anti-4He annihilation. Although pbar-4He annihilation produces more 3He than the secondary nbar-4He annihilation, the products of the latter survive later annihilation much better, since they are distributed further away from the annihilation zone.Comment: 15 pages, 9 figures. Minor changes to match the PRD versio

Properties of the Vlasov–Maxwell–Einstein Equations and Their Application to the Problems of General Relativity

Abstract: A new universal method is proposed for obtaining Vlasov–type equations for systems of interacting massive charged particles from the general-relativistic Einstein–Hilbert action. At the same time, a new effective approach to synchronizing the proper times of various particles of a many–particle system has been introduced. A new form of the energy–momentum tensor for matter (and the right-hand side of Einstein’s equations) is obtained. © 2020, Pleiades Publishing, Ltd

К ВОПРОСУ О ВЫВОДЕ УРАВНЕНИЯ ВЛАСОВА-МАКСВЕЛЛА-ЭЙНШТЕЙНА И ЕГО СВЯЗЬ C КОСМОЛОГИЧЕСКИМ ЛЯМБДА-ЧЛЕНОМ

Using the classical Lorentz-Hilbert-Einstein action, we derive the kinetic Vlasov-Maxwell-Einstein equation for particles in the gravitational and electromagnetic fields. The method of synchronization of intrinsic times of different particles is proposed. Based on the obtained expressions for actions (including in the post-Newtonian approximation), we analyze the connection of the cosmological lambda-term and dark energy.Из классического действия Лоренца-Гильберта-Эйнштейна выводятся кинетические уравнения Власова-Максвелла-Эйнштейна для частиц в гравитационном и электромагнитном полях. Предложена методика синхронизации собственных времён различных частиц. На основе полученных выражений для действий (в том числе в постньютоновском приближении) анализируется связь космологического лямбда-члена и тёмной энергии

Equation of Vlasov–Maxwell–Einstein Type and Transition to a Weakly Relativistic Approximation

Abstract: The gravitational Lagrangian of general relativity is considered together with the Lagrangian of electromagnetism. Vlasov-type equations are derived from the former in the general, nonrelativistic, and weakly relativistic limits. Expressions for the resulting corrections to the Poisson equation are proposed, which may contribute to the effective action of dark matter and dark energy. © 2019, Pleiades Publishing, Ltd

The application of methods of the theory of ordinary differential equations Fuchs class to study the properties of solutions of the Klein–Gordon equations in the General Relativistic Theory

Abstract: The properties of solutions of the Klein–Gordon equations for various metrics of the general theory of relativity are considered. It is shown that the presence of singular points of the metric leads to qualitative rearrangement solutions of this equation, and the desingularization of solutions by a choice of a new metric requires a priori assumptions that can lead to a formally mathematically correct, but paradoxical physical meaning results.Note: Research direction:Mathematical modelling in actual problems of science and technic