Bouncing cosmologies and stability analysis in symmetric teleparallel f(Q) gravity


Koussour M. Myrzakulov N.
September 2024Springer Science and Business Media Deutschland GmbH

European Physical Journal Plus
2024#139Issue 9

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 f(Q)=αQn, where α 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 a(t)=(1+λt2)1/3, where λ 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 δm(t) and δ(t) 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 ω=-1 in the vicinity of the bouncing point t=0, which confirms the success of our bounce cosmological model.



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Department of Physics, University of Hassan II Casablanca, Casablanca, Morocco
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

Department of Physics
L. N. Gumilyov Eurasian National University

10 лет помогаем публиковать статьи Международный издатель

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