• Hypersurface-homogeneous cosmological models with anisotropic dark energy in Saez–Ballester theory of gravitation

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/088/01/0008

• # Keywords

Hypersurface-homogeneous models; dark energy; accelerating Universe; Saez–Ballester theory.

• # Abstract

The present study deals with hypersurface-homogeneous cosmological models with anisotropic dark energy in Saez–Ballester theory of gravitation. Exact solutions of field equations are obtained by applying a special law of variation of Hubble’s parameter that yields a constant negative value of the deceleration parameter. Three physically viable cosmological models of the Universe are presented for the values of parameter $K$ occurring in the metric of the space–time. The model for $K = 0$ corresponds to an accelerating Universe with isotropic dark energy. The other two models for $K = 1$ and $−1$ represent accelerating Universe with anisotropic dark energy, which isotropize for large time. The physical and geometric behaviours of the models are also discussed.

• # Author Affiliations

1. Department of Mathematics, Baba Banarasi Das National Institute of Technology & Management, Lucknow 227 105, India
2. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221 005, India

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019