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Symmetry
Special Issues
Exact Solutions in Modern Cosmology with Symmetry/Asymmetry
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Special Issue "Exact Solutions in Modern Cosmology with Symmetry/Asymmetry"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 March 2024 | Viewed by 1405

Special Issue Editors

Prof. Dr. Igor Vladimirovich Fomin

E-Mail Website
Guest Editor
Department of Physics, Bauman Moscow State Technical University, Moscow, Russia
Interests: cosmology; theories of gravity; cosmological perturbations; gravitational waves
Prof. Dr. Sergey Chervon

E-Mail Website
Guest Editor
Department of Physics and Technical Disciplines, Ulyanovsk State Pedagogical University, Ulyanovsk, Russia
Interests: modified gravity; chiral self-gravitating models; exact solutions; inflation; dark energy; black holes; gravitational waves

Special Issue Information

Dear Colleagues,

Exact solutions are important for a correct understanding of the content of physical theories and the models built within the framework of physical theories. Fundamentals of the modern assumptions about the evolution of the universe and the origin of its large-scale structure were obtained on the basis of Friedmann's exact solutions of the Einstein equations, with the baryonic matter as the source of the gravitational field.

Within the framework of modern ideas about the evolution of the universe, various exotic matter fields and different modifications of Einstein's gravity theory are considered. The abundance of various models is associated with topical problems of modern cosmology, such as the problem of the cosmological constant, dark matter, dark energy, and some other problems. In this direction of research, the exact cosmological solutions can be considered criteria for the correctness of approximations, which are often used in the analysis of cosmological models.

The use of symmetries is one of the main methods of analysis in modern physical theories and their applications. Methods for constructing exact cosmological solutions include the use of the Noether point symmetry, Hojman symmetry, the use of nonlocal conservation laws, different form-invariant transformations, etc. Additionally, many other methods can be used to construct and analyze exact cosmological solutions.

The present Special Issue is devoted to the application of various methods for constructing exact solutions of cosmological dynamics equations to the analysis of actual models of the universe.

Prof. Dr. Igor Vladimirovich Fomin
Prof. Dr. Sergey Chervon
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • cosmology
  • inflation
  • general relativity
  • modified gravity theories
  • scalar fields
  • exact solutions

Published Papers (2 papers)

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Article
Exact (1 + 3 + 6)-Dimensional Cosmological-Type Solutions in Gravitational Model with Yang–Mills Field, Gauss–Bonnet Term and Λ Term
by
V. D. Ivashchuk
,
K. K. Ernazarov
and
A. A. Kobtsev
Symmetry 2023, 15(4), 783; https://doi.org/10.3390/sym15040783 - 23 Mar 2023
Viewed by 471
Abstract
We consider a 10-dimensional gravitational model with an SO(6)Yang–Mills field, Gauss–Bonnet term, and Λ term. We study so-called cosmological-type solutions defined on the product manifold M=R×R3×K, where K is 6d a Calabi–Yau manifold. [...] Read more.
We consider a 10-dimensional gravitational model with an SO(6)Yang–Mills field, Gauss–Bonnet term, and Λ term. We study so-called cosmological-type solutions defined on the product manifold M=R×R3×K, where K is 6d a Calabi–Yau manifold. By setting the gauge field 1-form to coincide with the 1-form spin connection on K, we obtain exact cosmological solutions with exponential dependence of scale factors (upon t-variable) governed by two non-coinciding Hubble-like parameters: H>0 and h obeying H+2h≠0. We also present static analogs of these cosmological solutions (for H≠0, h≠H, and H+2h≠0). The islands of stability for both classes of solutions are outlined. Full article
(This article belongs to the Special Issue Exact Solutions in Modern Cosmology with Symmetry/Asymmetry)
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Article
Classical and Quantum Cosmological Solutions in Teleparallel Dark Energy with Anisotropic Background Geometry
by
Andronikos Paliathanasis
Symmetry 2022, 14(10), 1974; https://doi.org/10.3390/sym14101974 - 21 Sep 2022
Cited by 2 | Viewed by 554
Abstract
We investigate exact and analytic solutions for the field equations in the teleparallel dark energy model, where the physical space is described by the locally rotational symmetric Bianchi I, Bianchi III and Kantowski-Sachs geometries. We make use of the property that a point-like [...] Read more.
We investigate exact and analytic solutions for the field equations in the teleparallel dark energy model, where the physical space is described by the locally rotational symmetric Bianchi I, Bianchi III and Kantowski-Sachs geometries. We make use of the property that a point-like Lagrangian exists for the description of the field equations, and variational symmetries are applied for the construction of invariant functions and conservation laws. The latter are used for the derivation of new analytic solutions for the classical field equations and exact function forms for the wavefunction in the quantum limit. Full article
(This article belongs to the Special Issue Exact Solutions in Modern Cosmology with Symmetry/Asymmetry)
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