Research ArticleNo Access

Bouncing behavior of anisotropic cosmological model

Department of Engineering Mathematics, Sagi Rama Krishnam Raju Engineering College (A), Bhimavaram 534204, Andhra Pradesh, India

E-mail Address: sobhan.maths@gmail.com

Corresponding author.

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M. Vijaya Santhi

https://orcid.org/0000-0002-0050-3033

Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, Andhra Pradesh, India

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A. Srinivasa Rao

https://orcid.org/0009-0004-1689-9759

Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, Andhra Pradesh, India

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, and

P. Jnana Prasuna

https://orcid.org/0009-0000-2369-7339

DNR Engineering College (A), Bhimavaram, West Godavari District, Andhra Pradesh, India

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https://doi.org/10.1142/S0219887824502359Cited by:0 (Source: Crossref)

Abstract

We study locally rotationally symmetric (LRS) Bianchi type-I cosmological model in the presence of general theory of relativity. The source for energy–momentum tensor is assumed a perfect fluid. The field equations have been solved by using special form of the average scale factor $a (t) = {[{(t - t_{0})}^{2} + \frac{t_{0}}{1 - β}]}^{\frac{1}{1 - β}}$ $a (t) = {[{(t - t_{0})}^{2} + \frac{t_{0}}{1 - β}]}^{\frac{1}{1 - β}}$ , where $t_{0}$ $t_{0}$ is initial cosmic time and $β < 1$ $β < 1$ is constant, proposed by Cai et al. [J. High Energy Phys.710, 071 (2007)]. The physical properties and bouncing behavior of the model are discussed through graphical representation. The violation of strong energy condition (SEC) further supports the behavior of accelerated expansion of the Universe. The stability analysis of the model is discussed through geometrical representation.

Keywords:

AMSC: 83C56, 83F05

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