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Main Authors: Sharif, M., Gul, M. Zeeshan, Fatima, Nusrat
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2404.00895
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author Sharif, M.
Gul, M. Zeeshan
Fatima, Nusrat
author_facet Sharif, M.
Gul, M. Zeeshan
Fatima, Nusrat
contents The main objective of this manuscript is to investigate the bouncing cosmology in the background of $f(\mathcal{Q})$ gravity, where $\mathcal{Q}$ defines the non-metricity. For this purpose, we use the reconstruction approach and consider a flat Friedmann-Robertson-Walker spacetime with perfect matter configuration. We examine how the first contracting phase gives the expansion by using a temporal derivative of the scale factor, i.e., $\dot{a}<0$, $\dot{a}=0$ and $\dot{a}>0$ give contraction, bounce point and expansion phases, respectively. Further, we use the order reduction method to solve the modified field equations as these are very difficult due to the presence of additional non-linear expressions. It is analyzed that the original singularity of the universe diminishes for the required bounce conditions. We conclude that the acceleration occurs near the bouncing point and the considered $f(\mathcal{Q})$ models are consistent with the current cosmic accelerated expansion.
format Preprint
id arxiv_https___arxiv_org_abs_2404_00895
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Analysis of Bouncing Cosmology in Non-Riemannian Geometry
Sharif, M.
Gul, M. Zeeshan
Fatima, Nusrat
General Relativity and Quantum Cosmology
The main objective of this manuscript is to investigate the bouncing cosmology in the background of $f(\mathcal{Q})$ gravity, where $\mathcal{Q}$ defines the non-metricity. For this purpose, we use the reconstruction approach and consider a flat Friedmann-Robertson-Walker spacetime with perfect matter configuration. We examine how the first contracting phase gives the expansion by using a temporal derivative of the scale factor, i.e., $\dot{a}<0$, $\dot{a}=0$ and $\dot{a}>0$ give contraction, bounce point and expansion phases, respectively. Further, we use the order reduction method to solve the modified field equations as these are very difficult due to the presence of additional non-linear expressions. It is analyzed that the original singularity of the universe diminishes for the required bounce conditions. We conclude that the acceleration occurs near the bouncing point and the considered $f(\mathcal{Q})$ models are consistent with the current cosmic accelerated expansion.
title Analysis of Bouncing Cosmology in Non-Riemannian Geometry
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2404.00895