Bouncing universe of entropy-corrected Friedmann equations

Amin Salehi; Mojtaba Mahmoudi-Fard

doi:10.1140/epjc/s10052-018-5727-y

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2018) 78: 232
https://doi.org/10.1140/epjc/s10052-018-5727-y

Regular Article - Theoretical Physics

Bouncing universe of entropy-corrected Friedmann equations

Amin Salehi^* and Mojtaba Mahmoudi-Fard

Department of physics, Lorestan university, Khoramabad, Iran

^* e-mail: salehi.a@lu.ac.ir

Received: 20 January 2018
Accepted: 11 March 2018
Published online: 17 March 2018

Abstract

In this paper, we investigate the possibility of obtaining bouncing-oscillating solution in modified Friedmann equations with logarithmic entropy corrected, $S=\frac{A}{4G}+\alpha \ln \frac{A}{4G}+\beta \frac{4G}{A}$ , for positive, negative and zero values of $(\alpha ,\beta )$ pre-factors and all kinds of curved universes. The results are argued using the dynamical system techniques and by employing the phase plane analysis for full classification of the nonsingular evolutions. Our analysis indicates that it is possible to have an oscillating universe as well as a bounce universe for $$k=1$$ and $k=- \ 1$ curvatures. In $$k=1$$ case, both positive and negative values of $\alpha$ and $\beta$ can make bouncing-oscillating solution, while in $k=- \ 1$ case, only the positive value of $\alpha$ with negative value of $\beta$ can make a bounce. Also the flat universe have no bounce solution.