Eur. Phys. J. Plus (2014) 129: 244
https://doi.org/10.1140/epjp/i2014-14244-6

Regular Article

On the simultaneous variation of some cosmological parameters in the presence of interacting dark energy

¹ Department of Mathematics, Manipal University Jaipur, Jaipur-303007, Rajasthan, India
² Department of mathematics, Faculty of Science, Banaras Hindu University, 221005, Varanasi, India

^* e-mail: shibesh.math@gmail.com

Received: 18 September 2014
Accepted: 29 September 2014
Published online: 12 November 2014

Abstract

Coupling of different cosmological parameters in the presence of an interacting dark energy represented by a time-varying cosmological constant is discussed in a general gravitational situation. It is shown that the presence of the dark energy plays a significant role in generating cosmological models with the ansatz ρ ∝ τ ². A Bianchi type-I cosmological model filled with a perfect fluid distribution in the presence of an interacting dark energy is obtained and the evolution of different cosmological parameters is discussed.