Noether Symmetries in Gravitation and Cosmology

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

Deadline for manuscript submissions: closed (30 July 2023) | Viewed by 1545

Special Issue Editors


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Guest Editor
1. Scuola Superiore Meridionale (SSM), Largo S. Marcellino 10, 80138 Napoli, Italy
2. Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cinthia 9, 80126 Napoli, Italy
Interests: classical and quantum cosmology; Noether symmetries; general relativity; modified theories of gravity

E-Mail Website
Guest Editor
1. Scuola Superiore Meridionale (SSM), Largo S. Marcellino 10, 80138 Napoli, Italy
2. Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cinthia 9, 80126 Napoli, Italy
Interests: cosmology; dark energy; modified gravity; Noether symmetries

Special Issue Information

Dear Colleagues,

Theoretical shortcomings and tensions between cosmological observations have recently called into question the validity of General Relativity at extreme energy scales or strong regimes. This has motivated consideration of possible extensions to Einstein's gravity in order to resolve outstanding issues. Among the plethora of possible extensions of GR, models containing symmetries can be selected by means of Noether's theorem. Symmetries help to reduce the order of field equations and find analytic solutions for a given dynamical system.

The aim of this Special Issue is to provide evidence of the importance of symmetries in the fields of gravitation and cosmology. Its focus is on the search for symmetries in the context of theories of gravity, pointing out their central role in solving dynamics, selecting physically viable models and achieving exact solutions.  

Dr. Francesco Bajardi
Dr. Rocco D'Agostino
Guest Editors

Manuscript Submission Information

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Keywords

  • Noether’s theorem
  • symmetries
  • cosmology
  • modified gravity
  • general relativity
  • dynamical systems
  • exact solutions
  • dark energy
  • astrophysics

Published Papers (1 paper)

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Research

19 pages, 507 KiB  
Article
Lagrangian Reconstruction of Barrow Holographic Dark Energy in Interacting Tachyon Model
by Giuseppe Gaetano Luciano and Yang Liu
Symmetry 2023, 15(5), 1129; https://doi.org/10.3390/sym15051129 - 22 May 2023
Cited by 7 | Viewed by 995
Abstract
We consider a correspondence between the tachyon dark energy model and Barrow holographic dark energy (BHDE). The latter is a modified scenario based on the application of the holographic principle with Barrow entropy instead of the usual Bekenstein–Hawking one. We reconstruct the dynamics [...] Read more.
We consider a correspondence between the tachyon dark energy model and Barrow holographic dark energy (BHDE). The latter is a modified scenario based on the application of the holographic principle with Barrow entropy instead of the usual Bekenstein–Hawking one. We reconstruct the dynamics of the tachyon scalar field T in a curved Friedmann–Robertson–Walker universe both in the presence and absence of interactions between dark energy and matter. As a result, we show that the tachyon field exhibits non-trivial dynamics. In a flat universe, T˙2 must always be vanishing, independently of the existence of interaction. This implies ωD=1 for the equation-of-state parameter, which in turn can be used for modeling the cosmological constant behavior. On the other hand, for a non-flat universe and various values of the Barrow parameter, we find that T˙2 decreases monotonically for increasing cos(Rh/a) and cosh(Rh/a), where Rh and a are the future event horizon and the scale factor, respectively. Specifically, T˙20 for a closed universe, while T˙2<0 for an open one, which is physically not allowed. We finally comment on the inflation mechanism and trans-Planckian censorship conjecture in BHDE and discuss observational consistency of our model. Full article
(This article belongs to the Special Issue Noether Symmetries in Gravitation and Cosmology)
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