https://doi.org/10.1140/epjp/s13360-024-05574-5
Regular Article
Bouncing cosmologies and stability analysis in symmetric teleparallel f(Q) gravity
1
Department of Physics, University of Hassan II Casablanca, Casablanca, Morocco
2
L. N. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan
Received:
13
May
2024
Accepted:
19
August
2024
Published online:
6
September
2024
This paper is devoted to examining cosmological bouncing scenarios in the framework of the recently proposed symmetric teleparallel gravity (or f(Q) gravity), where the non-metricity scalar Q represents the gravitational interaction. We assume an f(Q) model in the form of 
, where 
and n are free model parameters. To obtain a bouncing universe, we consider a special form of the scale factor a(t) in terms of cosmic time, specifically 
, where 
is an arbitrary constant. We derive the field equations for the flat FLRW universe and obtain the corresponding exact solution. We investigate the physical behavior of various cosmological parameters such as the deceleration parameter, pressure, and equation of state (EoS) parameter with the energy conditions for our bounce cosmological model. Furthermore, we investigate the behavior of the perturbation terms 
and 
with respect to cosmic time t using the scalar perturbation approach. We found that although the model exhibits unstable behavior at the beginning for a brief period, it shows mostly stable behavior for most of the time. Finally, we conclude that the EoS parameter crosses the quintom line 
in the vicinity of the bouncing point 
, which confirms the success of our bounce cosmological model.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
