Accelerating Bianchi Type-V Cosmology with Perfect Fluid and Heat Flow in Saez-Ballester Theory

Abstract

In this paper we discuss the law of variation of scale factor $a=(t^k{e}^t{)}^{\frac{1}{n}}$ which yields a time-dependent deceleration parameter (DP) representing a new class of models that generate a transition of universe from the early decelerated phase to the recent accelerating phase. Exact solutions of Einstein's modified field equations with perfect fluid and heat conduction are obtained within the framework of Saez-Ballester scalar-tensor theory of gravitation and the model is found to be in good agreement with recent observations. We find, for n = 3, k = 1, the present value of DP in derived model as q_0 = -0.67 which is very near to the observed value of DP at present epoch. We find that the time-dependent DP is sensible for the present day Universe and give an earmark description of evolution of universe. Some physical and geometric properties of the models are also discussed.

arXiv comment12 pages, 5 figures

References in corpus (23)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Cosmological Results from High-z Supernovae
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• A theoretician's analysis of the supernova data and the limitations in determining the nature of dark energy
• Hubble Space Telescope and Ground-Based Observations of Type Ia Supernovae at Redshift 0.5: Cosmological Implications
• LRS Bianchi Type I Models with Anisotropic Dark Energy and Constant Deceleration Parameter
• Acceleration at z>1?
• Estimating the Redshift Distribution of Photometric Galaxy Samples II. Applications and Tests of a New Method
• Some Anisotropic Dark Energy Models in Bianchi Type-V Space-time
• Some Bianchi Type-V Models of Accelerating Universe with Dark Energy
• Bianchi Type I Cosmology in Generalized Saez-Ballester Theory via Noether Gauge Symmetry
• An Interacting Two-Fluid Scenario for Dark Energy in FRW Universe
• Dark Energy Model in Anisotropic Bianchi Type-III Space-Time with Variable EoS Parameter
• Accelerating dark energy models in bianchi Type-V space-time
• Cosmological constant dominated transit universe from early deceleration to current acceleration phase in Bianchi-V space-time
• On Dynamics of Brans--Dicke Theory of Gravitation
• A New Class of Bianchi Type-I Cosmological Models in Scalar-Tensor Theory of Gravitation and Late Time Acceleration
• Anisotropic cosmology in Sáez-Ballester theory: classical and quantum solutions
• Bianchi Type I Anisotropic Universe without Big Smash Driven by Law of Variation of Hubble's Parameter

Cited by in corpus (7)

• Saez-Ballester gravity in Kantowski-Sachs Universe: a new reconstruction paradigm for Barrow Holographic Dark Energy
• Bianchi type-I transit cosmological models with time dependent gravitational and cosmological constants - reexamined
• Anisotropic bulk viscous string cosmological models of the Universe under a time-dependent deceleration parameter
• A new class of holographic dark energy models in LRS Bianchi Type-I
• Bianchi type-V Transitioning model in Brans-Dicke theory with Observational Constraint
• A Generalized Solution of Bianchi Type-V Models with Time-dependent $G$ and $\Lambda$
• On the equivalence between Sáez-Ballester theory and Einstein-scalar field system