Applied Mathematics for Cosmology and Gravitation

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 1168

Special Issue Editors


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Guest Editor
Natural and Agricultural Sciences, North-West University, Mahikeng 2745, North-West Province, South Africa
Interests: gravitation and cosmology

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Guest Editor
Institute of Fundamental Study, Naresuan University, Phitsanulok 65000, Thailand
Interests: general relativity; special and general relativity; theoretical physics; astronomy & astrophysics; theoretical particle physics; quantum mechanics; quantum field theory; applied mathematics; particle physics; high energy physics

Special Issue Information

Dear Colleagues,

Applied mathematics plays an indispensable role in the fields of gravitation and cosmology. Einstein’s gravitational field equations describing the evolution of the universe are a complicated system of coupled partial differential equations. Solving such equations usually involves assumptions of some sort of symmetry. The study of large-scale structure formation also involves perturbative techniques that need harmonic decomposition and analysis. Dynamical analysis techniques are also becoming increasingly popular in the qualitative descriptions of cosmological solutions. Recent cosmological data have shown that the standard cosmological model based on Einstein’s general relativity theory is somehow incomplete, leading to the formulation of a plethora of modified gravity theories. Any analytical and computational analysis of their cosmological solutions, as these examples seek to demonstrate, ultimately requires the use of applied mathematics.

In this Special Issue, original research and review articles related to the use of applied mathematics in the study of GR-based gravitation and cosmology as well as modified gravitational models will be considered for publication.

Prof. Dr. Amare Abebe
Dr. Saikat Chakraborty
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • gravitation
  • cosmology
  • general relativity
  • modified gravity
  • dark matter
  • dark energy
  • dynamical systems analysis
  • symmetry analysis
  • cosmological perturbations

Published Papers (1 paper)

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Research

52 pages, 9299 KiB  
Article
Phase-Space Analysis of an Einstein–Gauss–Bonnet Scalar Field Cosmology
by Alfredo D. Millano, Genly Leon and Andronikos Paliathanasis
Mathematics 2023, 11(6), 1408; https://doi.org/10.3390/math11061408 - 14 Mar 2023
Cited by 3 | Viewed by 646
Abstract
We perform a detailed study of the phase-space of the field equations of an Einstein–Gauss–Bonnet scalar field cosmology for a spatially flat Friedmann–Lemaître–Robertson–Walker spacetime. For the scalar field potential, we consider the exponential function. In contrast, we assume two cases for the coupling [...] Read more.
We perform a detailed study of the phase-space of the field equations of an Einstein–Gauss–Bonnet scalar field cosmology for a spatially flat Friedmann–Lemaître–Robertson–Walker spacetime. For the scalar field potential, we consider the exponential function. In contrast, we assume two cases for the coupling function of the scalar field with the Gauss–Bonnet term: the exponential function and the power–law function. We write the field equations in dimensionless variables and study the equilibrium points using normalized and compactified variables. We recover previous results, but also find new asymptotic solutions not previously studied. Finally, these couplings provide a rich cosmological phenomenology. Full article
(This article belongs to the Special Issue Applied Mathematics for Cosmology and Gravitation)
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