The study of accelerating DE models in Saez–Ballester theory of gravitation

The investigation in the present work is carried out on the spatially homogeneous and anisotropic axially symmetric space-time in the presence of two fluids, one being the pressureless matter and other being the different kinds of holographic dark energy (HDE). Eventually, in the present work, cosmo...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2022-12, Vol.137 (12), p.1294, Article 1294
Main Authors: Vinutha, T., Vasavi, K. Venkata
Format: Article
Language:English
Subjects:
Acceleration
Applied and Technical Physics
Astronomical models
Atomic
Complex Systems
Condensed Matter Physics
Cosmology
Dark energy
Deceleration
Entropy
Gravitation theory
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Parameters
Phase transitions
Physics
Physics and Astronomy
Quintessence (cosmology)
Red shift
Regular Article
Relativity
Scalars
Spacetime
Stability analysis
Tensors
Theoretical
Theory of relativity
Universe
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The investigation in the present work is carried out on the spatially homogeneous and anisotropic axially symmetric space-time in the presence of two fluids, one being the pressureless matter and other being the different kinds of holographic dark energy (HDE). Eventually, in the present work, cosmological models with Tsallis HDE, Renyi HDE, Sharma–Mittal HDE by taking Hubble radius as infrared (IR) cutoff ( L = H - 1 ) are obtained. The geometrical and matter parts of space-time are solved within the Saez–Ballester scalar-tensor theory of gravitation. Interestingly, in this study a time varying deceleration parameter ( q ) which exhibits a transition from deceleration to acceleration phase is obtained without assuming any scale factor. In the present work, the study of cosmic expansion is done through the scalar field ( ϕ ) and various cosmological parameters like EoS, deceleration, statefinder, etc. The EoS parameter exhibits quintom-like behavior for Tsallis HDE model, the transition from matter-dominated phase to phantom phase for Renyi HDE model, whereas it shows quintessence behavior for Sharma–Mittal HDE. The stability analysis for three models is studied through the squared speed of sound ( v s 2 ). For all redshift ( z ) values v s 2 > 0 , the Sharma–Mittal HDE model is stable throughout the universe’s expansion. In this work, the obtained results match with recent observational data.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-03477-x