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Symmetry
Special Issues
Application of Symmetry in Gravity Researches
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Application of Symmetry in Gravity Researches

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

Deadline for manuscript submissions: closed (31 January 2024) | Viewed by 6481

Special Issue Editors

Dr. Ghulam Mustafa

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Guest Editor
Department of Physics, Zhejiang Normal University, Jinhua 321004,China
Interests: general relativity; black holes; symmetries; wormhole; modified theories of gravity
Special Issues, Collections and Topics in MDPI journals
Dr. S.K. Maurya

E-Mail Website
Guest Editor
Associate Professor, Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, Oman
Interests: general relativity; compact stars; symmetries; wormholes; modified theories of gravity
Prof. Dr. Saibal Ray

E-Mail Website
Guest Editor
Associate Professor, Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura, India
Interests: general relativity; compact stars; symmetries; wormholes; modified theories of gravity; cosmology

Special Issue Information

Dear Colleagues,

The approximation symmetry approach plays an important role in evaluating the exact solutions of the differential equations. The Noether symmetries, in particular, are not only a mechanism for dealing with the solution of the dynamic, but their presence also provides suitable conditions so that one can specify the universe models under the gravitational framework physically and analytically, according to our recent observations. Such symmetries are believed to be an appropriate mathematical approach, which often investigates the exact solutions and computes the associated conserved and required quantities. The method based on the symmetries plays a central role in reducing the non-linear equation to a linear equation system. The numerous conservation principles, such as conservation of energy and angular momentum, are specifically linked to the symmetries of a specified dynamical system and provide the conserved quantities, which seem to be the consequence of the certain type of symmetry being present in that mechanism. The current cosmic accelerated expansion has always been considered to be the most revolutionizing reality on the landscape of theoretical and observational modern cosmology. In order to take into account the late-time accelerated expansion, two main approaches have been proposed: the existence of dark energy, which exhibits strong negative pressure, and modified theories of gravity. Motivated by the aforementioned discussion, our focus is to collect good research papers admitting symmetries in the frame of gravity studies. Some potential topics are listed below, but submissions should not be limited to these topics:

  • Cosmology via symmetries;
  • Geometric nature of symmetries;
  • Probe the nature of dark energy in the framework of symmetries;
  • Symmetries in the higher-order gravity theory;
  • Symmetries as a geometric criterion;
  • Spherically symmetric solutions via symmetries;
  • Dynamical symmetries;
  • Reconstruction of the Lagrangian;
  • Physical significance of symmetries;
  • Symmetries of geodesic equations;
  • Non-local curvature and symmetries;
  • Symmetries and conservation laws;
  • Symmetries in extended gravity;
  • Astrophysical compact objects and symmetries.

Dr. Ghulam Mustafa
Dr. S.K. Maurya
Prof. Dr. Saibal Ray
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

  • noether symmetries
  • cosmology
  • dark energy dark matter
  • conformal symmetries
  • black holes
  • wormholes
  • compact stars
  • modified theories of gravity

Published Papers (4 papers)

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Research

12 pages, 265 KiB  
Article
Self-Similar Solutions of a Bianchi Type-III Model with a Perfect Fluid and Cosmic String Cloud in Riemannian Geometry
by Ragab Mohamed Gad and Awatif Al-Jedani
Symmetry 2023, 15(9), 1703; https://doi.org/10.3390/sym15091703 - 06 Sep 2023
Viewed by 517
Abstract
A Bianchi type-III cosmological model with self-similarity symmetry is investigated in cases with perfect fluid distribution and a cosmic string cloud. We show that this model admits a non-trivial homothetic vector field which possess non-null homothetic bivectors. This homothetic vector field is not [...] Read more.
A Bianchi type-III cosmological model with self-similarity symmetry is investigated in cases with perfect fluid distribution and a cosmic string cloud. We show that this model admits a non-trivial homothetic vector field which possess non-null homothetic bivectors. This homothetic vector field is not parallel to its source vector (current vector). We discussed cases where the homothetic vector is either orthogonal or parallel to the 4-velocity of a fluid element. We solved Einstein’s field equations without making any assumptions on the geometry of space-time, only assuming that it admits self-similarity symmetry. We obtained new exact self-similar solutions for the Bianchi type-III model. We show that all obtained solutions are shear, and space-time is shear free in only the case where the homothetic vector field is parallel to the 4-velocity vector. The kinematical and physical properties of the obtained solutions are discussed. Full article
(This article belongs to the Special Issue Application of Symmetry in Gravity Researches)
18 pages, 872 KiB  
Article
Hyperbolic Scenario of Accelerating Universe in Modified Gravity
by Raja Azhar Ashraaf Khan, Rishi Kumar Tiwari, Jumi Bharali, Amine Bouali, G. Dilara Açan Yildiz and Ertan Güdekli
Symmetry 2023, 15(6), 1238; https://doi.org/10.3390/sym15061238 - 09 Jun 2023
Cited by 1 | Viewed by 940
Abstract
Throughout this study, locally rotationally symmetric (LRS) Bianchi type-V space-time is pondered with Tsallis holographic dark energy (THDE) with the Granda–Oliveros (GO) cut-off in the Sáez–Ballester (SB) theory of gravity. A parameterization of the deceleration parameter (q) has been suggested: [...] Read more.
Throughout this study, locally rotationally symmetric (LRS) Bianchi type-V space-time is pondered with Tsallis holographic dark energy (THDE) with the Granda–Oliveros (GO) cut-off in the Sáez–Ballester (SB) theory of gravity. A parameterization of the deceleration parameter (q) has been suggested: q=α−βH2. The proposed deceleration parameterization demonstrates the Universe’s phase transition from early deceleration to current acceleration. Markov chain Monte Carlo (MCMC) was utilized to have the best-fit value for our model parameter and confirm that the model satisfies the recent observational data. Additional parameters such as deceleration parameter q with cosmographic parameters jerk, snap, and lerk have also been observed physically and graphically. The constructed model is differentiated from other dark energy models using statefinder pair analysis. Some important features of the model are discussed physically and geometrically. Full article
(This article belongs to the Special Issue Application of Symmetry in Gravity Researches)
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13 pages, 1965 KiB  
Article
Traversable Wormhole in f(Q) Gravity Using Conformal Symmetry
by Munsif Jan, Asifa Ashraf, Abdul Basit, Aylin Caliskan and Ertan Güdekli
Symmetry 2023, 15(4), 859; https://doi.org/10.3390/sym15040859 - 04 Apr 2023
Cited by 7 | Viewed by 2088
Abstract
In the current study, we investigate the possible existence of new wormhole solutions within f(Q) gravity by using the conformal symmetry, where Q is a non-metricity scalar. Modified versions of field equations within the scope of conformal symmetry with an [...] Read more.
In the current study, we investigate the possible existence of new wormhole solutions within f(Q) gravity by using the conformal symmetry, where Q is a non-metricity scalar. Modified versions of field equations within the scope of conformal symmetry with an anisotropic source of matter are calculated using the variational approach. We consider two distinct approaches, namely the linear equation of state and traceless fluid, in order to determine the exact form of the shape function for wormhole geometry. In the context of the f(Q) modified theory of gravity, we present a set of exact solutions for describing the existence of a relativistic wormhole. Further, the presence of dark matter is checked through make a use of energy conditions. In conclusion, it is interesting to mention that the presence of exotic matter is confirmed for both approaches, such as linear equation of state and traceless fluid. Full article
(This article belongs to the Special Issue Application of Symmetry in Gravity Researches)
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13 pages, 362 KiB  
Article
Black String Bounce to Traversable Wormhole
by Arthur Menezes Lima, Geová Maciel de Alencar Filho and Job Saraiva Furtado Neto
Symmetry 2023, 15(1), 150; https://doi.org/10.3390/sym15010150 - 04 Jan 2023
Cited by 6 | Viewed by 2456
Abstract
In this work, a regular black string solution is presented from the method used by Simpson–Visser to regularize the Schwarzschild solution. As in the Simpson–Visser work, in this new black string solution, it is possible to represent both a regular black hole and [...] Read more.
In this work, a regular black string solution is presented from the method used by Simpson–Visser to regularize the Schwarzschild solution. As in the Simpson–Visser work, in this new black string solution, it is possible to represent both a regular black hole and a wormhole simply by changing the value of a parameter “a” used in its metric. Tensors and curvature invariants are analyzed to verify the regularity of the solution as well as the energy conditions of the system. It is found that the null energy condition is always violated for the entire space. An additional analysis of the thermodynamic properties of the regular black string is carried out, in which the modifications generated about the original solution of the black string are evaluated, specifically, the Hawking temperature, entropy, its thermal capacity, and the Helmholtz free energy. Finally, we investigate the possible stable or unstable circular orbits for photons and massive particles. The results are compared with those for the non-regular black string, seeking to make a parallel with the Simpson–Visser work. Full article
(This article belongs to the Special Issue Application of Symmetry in Gravity Researches)
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