Symmetry in Cosmology
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".
Deadline for manuscript submissions: closed (31 December 2018) | Viewed by 12382
Special Issue Editor
Interests: mathematical physics; cosmology; general relativity; conservation laws; lie algebra; fundamental symmetry
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Symmetries is perhaps the strongest tool of physics and applied mathematics available for the manipulation of differential equations and the determination of actual solutions. They provide two major elements of significant importance:
a. The invariant quantities which constitute the best variables for the study of a specific dynamical system and can be used to reduce the order of a differential equation or reduce the number of variables.b. Conserved currents which define surfaces in phase space, on which the evolution of the differential equation is constrained and can be used for the determination of analytical solutions.
The recent observational data on the cosmological scale—the main one being the observed acceleration of the Universe—require the development of new generalized models beyond the classical Friedman Robertson Walker (FRW) model of General Relativity. Today the FRW model is considered as the fundamental reference model on which all generalized models must reduce under specific assumptions.
In general, the field equations of a generalized cosmological model are nonlinear while new degrees of freedom and/or higher-order derivatives are introduced. The determination of analytical solutions as well as the study of integrability of those models is a subject of special interest.
The purpose of the present Special Issue entitled “Symmetry in Cosmology” is the presentation of new methods, techniques and results concerning the determination of new integrable systems in various significant generalized cosmological models.
Prof. Dr. Michael Tsamparlis
Guest Editor
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Keywords
- Symmetries
- Integrability
- Dynamical systems
- Dark energy
- Modified theories of gravity
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