Bouncing universe of entropy-corrected Friedmann equations

• Published in: The European physical journal. C, Particles and fields Vol. 78; no. 3; pp. 1 - 12
• Main Authors: Salehi, Amin, Mahmoudi-Fard, Mojtaba
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-03-2018; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Bouncing; Elementary Particles; Entropy; Hadrons; Heavy Ions; Mathematical analysis; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Universe
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-018-5727-y

In this paper, we investigate the possibility of obtaining bouncing-oscillating solution in modified Friedmann equations with logarithmic entropy corrected,
S
=
A
4
G
+
α
ln
A
4
G
+
β
4
G
A
, for positive, negative and zero values of
(
α
,
β
)
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
α
and
β
can make bouncing-oscillating solution, while in
k
=
-
1
case, only the positive value of
α
with negative value of
β
can make a bounce. Also the flat universe have no bounce solution.