Accepted Paper

Stability and Cosmic Acceleration of the Cosmological Models in Teleparallel Gravity

A.Y. Shaikh
Department of Mathematics, Indira Gandhi Mahavidyalaya, Ralegaon, India
Abstract. The paper is devoted to the study of LRS Bianchi type-I space-time filled in the presence of domain walls using volumetric power and exponential expansion laws towards the gravitational field equations of Teleparallel gravity. In power law model, the model is stable at the early phases of the universe and is unstable at late times while in exponential model, the model is stable. The geometrical and physical parameters for both the models are studied. In addition to make the interpretation more clear for that the statefinder diagnostic pair (r,s) and jerk parameter are analyzed to characterize different phases of the universe. The well-known astrophysical phenomena, namely the look-back time, proper distance, the luminosity distance and angular diameter distance with red shift are discussed.

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