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Anisotropic solutions in f(Q) gravity with hybrid expansion

  • Lambamayum Anjana Devi EMAIL logo , S. Surendra Singh and Md Khurshid Alam
Published/Copyright: May 25, 2023
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 78 Issue 7

Abstract

Despite having a reasonably successful account of accelerated cosmology, understanding of the early evolution of Universe has always been difficult for mankind. Our promising strategy is based on a novel class of symmetric teleparallel theories of gravity called f(Q), in which the gravitational interaction is caused by the non-metricity scalar Q, which may help to solve some problems. We consider the locally rotationally symmetric (LRS) Bianchi type-I spacetime cosmological models and derive the motion of equations to study the early evolution of the cosmos. By assuming the hybrid expansion law (HEL) for the average scale factor, we are able to determine the solutions to the field equations of Bianchi type-I spacetime. We discuss the energy density profile, the equation of state, and the skewness parameter and conclude that our models preserve anisotropic spatial geometry during the early stages of the Universe with the possibility of an anisotropic fluid present. However, as time goes on, even in the presence of an anisotropic fluid, the Universe may move towards isotropy due to inflation while the anisotropy of the fluid dims away at the same time. It is seen from the squared speed of sound that Universe shows phantom nature at the beginning then approaches to dark energy at present epoch. We analyze both geometrical and physical behaviours of the derived model.

Keywords: Bianchi type-I metric; f(Q)gravity; initial singularity; Hybrid expansion law
PACS: 95.30.Sf; 95.36.+x; 98.80.-k
Corresponding author: Lambamayum Anjana Devi, Department of Mathematics, National Institute of Technology Manipur, Imphal 795004, India, E-mail:

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The author declares no potential conflict of interest or competing interest.

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Received: 2023-01-23
Accepted: 2023-05-06
Published Online: 2023-05-25
Published in Print: 2023-07-26

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2023-0016
Keywords for this article
Bianchi type-I metric; f(Q)gravity; initial singularity; Hybrid expansion law

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. A comparative study on the local structures of the V4+ and Cu2+ centers in WO3
  4. Dynamical Systems & Nonlinear Phenomena
  5. The controlled fission, fusion and collision behavior of two species Bose–Einstein condensates with an optical potential
  6. On the multi-component Heisenberg supermagnet models in (1+1) and (2+1)-dimensions
  7. Gravitation & Cosmology
  8. Anisotropic solutions in f(Q) gravity with hybrid expansion
  9. Hydrodynamics
  10. Rayleigh–Taylor stability of quantum magnetohydrodynamic plasma with electron inertia and resistivity
  11. Magnetic and porous effects on steady state and flow resistance of Burgers fluids between parallel plates
  12. Effects of plaque shape on arterial blood flow
  13. Quantum Theory
  14. Green’s function analysis of the neutron Lloyd interferometer
  15. Solid State Physics & Materials Science
  16. Calcium oxide decorated graphene oxide nanocomposite as energy storage medium: synthesis and characterization
  17. Comparative study of structural, optical and electrical properties variation of pure, (Ag, Mg) doped and co-doped ZnO nanostructured thin films
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