Anisotropic new agegraphic dark energy model with sign-changeable interaction in a scalar-tensor theory

Y. Sobhanbabu; M. Vijaya Santhi

doi:10.1140/epjp/s13360-022-02957-4

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2024 Impact factor 2.9

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2022) 137: 753
https://doi.org/10.1140/epjp/s13360-022-02957-4

Regular Article

Anisotropic new agegraphic dark energy model with sign-changeable interaction in a scalar-tensor theory

Y. Sobhanbabu¹^a and M. Vijaya Santhi²

¹ Department of Engineering Mathematics and Humanities, SRKR Engineering College, 534204, Bhimavaram, India
² Department of Applied Mathematics, Andhra University, 530003, Visakhapatnam, India

^a sobhan.maths@gmail.com

Received: 24 January 2022
Accepted: 14 June 2022
Published online: 30 June 2022

Abstract

This work examines the dark energy phenomenon by studying the New Agegraphic Dark Energy (NADE) and Dark Matter (DM) within the framework of Brans-Dicke (BD) scalar tensor theory of gravitation. To achieve a solution, we consider the viable deceleration parameter, which contributes to the average scale factor $a = e^{\frac{1}{γ} \sqrt{2 γ t + c_{1}}}$ $a=e^{\frac{1}{\gamma }\sqrt{2\gamma t+c_1}}$ , where $γ$ $\gamma$ , and $c_{1}$ $$c_1$$ are, respectively, arbitrary and integration constants. We have derived the field equations of BD scalar tensor theory of gravity with the help of axially symmetric Universe. We have constructed two cases of non-interacting and sign-changeable interacting components scenario. We have investigated cosmological parameters, namely Deceleration Parameter(DP)(q), energy densities ( $ρ_{M}$ $\rho _{M}$ ) and ( $ρ_{a}$ $\rho _{a}$ ) of DM and NADE, Brans-Dicke scalar field ( $ϕ$ $\phi$ ), skewness parameter ( $α$ $\alpha$ ), and equation of state parameter ( $ω_{a}$ $\omega _a$ ). The physical debate of these cosmological parameters is investigated through graphical presentation. Moreover, the stability of the models is explained through Squared Sound Speed (SSS) ( $c_{s}^{2}$ $c_s^{2}$ ) and the well-known cosmological planes ${r - s}$ $\{r-s\}$ , ${r - q}$ $\{r-q\}$ , and $ω_{a} - ω_{a}^{^{'}}$ $\omega _a-\omega _a^{'}$ are constructed and analyzed through graphical representation for our models.