Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity

Abstract

Symmetric teleparallel gravity offers to reformulate the gravitational formalism without the presence of curvature and torsion with the help of non-metricity tensors. Interestingly, Symmetric teleparallel gravity can be formulated equivalently to teleparallel gravity or general relativity for an appropriate setup. In this study, our aim lies in exploring the bouncing cosmologies as an alternative to the initial singularity of the Universe in the background of modified symmetric teleparallel gravity. To explore this, we adopt the reconstruction technique to present the possible reconstructed Lagrangian for various cosmological bouncing solutions in a flat Friedmann-Lemaître-Robertson-Walker spacetime with a perfect fluid matter distribution. We study the reconstructed gravitational Lagrangians, which are capable of reproducing analytical solutions for \textit{symmetric bounce}, \textit{super-bounce}, \textit{oscillatory bounce}, \textit{matter bounce}, and \textit{exponential bouncing} model settings. Further, we examine the dark energy profiles of the models using reconstructed Lagrangians. In addition, we found that an additional term arises in each reconstructed Lagrangian compared to general relativity (GR). That extra term corrected the background GR to present bouncing cosmology in modified gravity. These newly motivated cosmological models may have an effect on gravitational phenomena at other cosmological scales.

EPJ C revised version

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Cited by in corpus (13)

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• Dynamical system analysis of scalar field cosmology in coincident $f(Q)$ gravity
• Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity
• Modified $f(Q)$ gravity models and their cosmological consequences
• Tensor Perturbations from Bounce Inflation Scenario in f(Q) Gravity
• Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Dynamical systems analysis of a cosmological model with interacting Umami Chaplygin fluid in adiabatic particle creation mechanism: Some bouncing features
• Vulnerability of f(Q) gravity theory and a possible resolution
• Beyond the Cosmological Constant: Breaking the Geometric Degeneracy of $f(Q)$ cosmology via Redshift-Space Distortions
• Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature