English

Study of Homogeneous and Isotropic Universe in $f(R,T^{\varphi})$ Gravity

General Relativity and Quantum Cosmology 2018-07-30 v1

Abstract

This paper is devoted to study the cosmological behavior of homogeneous and isotropic universe model in the context of f(R,Tφ)f(R,T^{\varphi}) gravity where φ\varphi is the scalar field. For this purpose, we follow the first order formalism defined by H=W(φ)H=W(\varphi). We evaluate Hubble parameter, effective equation of state parameter (ωeff)(\omega^{eff}), deceleration parameter and potential of scalar field for three different values of W(φ)W(\varphi). We obtain phantom era in some cases for the early times. It is found that exponential expression of W(φ)W(\varphi) yields ωeff\omega^{eff} independent of time for flat universe and independent of model parameter otherwise. It is concluded that our model corresponds to Λ\LambdaCDM for both initial as well as late times.

Keywords

Cite

@article{arxiv.1807.06467,
  title  = {Study of Homogeneous and Isotropic Universe in $f(R,T^{\varphi})$ Gravity},
  author = {M. Sharif and Aisha Siddiqa},
  journal= {arXiv preprint arXiv:1807.06467},
  year   = {2018}
}

Comments

19 pages, 9 figures, to appear in AHEP