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.

arXiv commentEPJ C revised version

References in corpus (54)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from SDSS and WMAP
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Coincident General Relativity
• Cosmic Evolution in a Cyclic Universe
• Reconciling dark energy models with f(R) theories
• Towards a Nonsingular Bouncing Cosmology
• Observational constraints of $f(Q)$ gravity
• Modified gravity and its reconstruction from the universe expansion history
• Coupling matter in modified $Q$-gravity
• Bouncing Universe with Quintom Matter
• Teleparallel Palatini theories
• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Designing Cyclic Universe Models
• Exploring Bouncing Cosmologies with Cosmological Surveys
• The Matter Bounce Scenario in Loop Quantum Cosmology
• A Cosmological Super-Bounce
• Traversable wormhole geometries in $f(Q)$ gravity
• Two Field Matter Bounce Cosmology
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• The Matter Bounce Curvaton Scenario
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Matter creation in a nonsingular bouncing cosmology
• Cosmological bouncing solutions in f(T,B) gravity
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Barotropic index w-singularities in cosmology
• A designer approach to $f(Q)$ gravity and cosmological implications
• An Extended Matter Bounce Scenario: current status and challenges
• The bounce universe history from unimodular $F(R)$ gravity
• On the impact of $f(Q)$ gravity on the Large Scale Structure
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• Isotropization of locally rotationally symmetric Bianchi-I universe in $f(Q)$-gravity
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• Cosmological bouncing solutions in extended teleparallel gravity theories
• Crossing phantom divide in $f(Q)$ gravity
• Does loop quantum cosmology replace the big rip singularity by a non-singular bounce?
• Superbounce and Loop Quantum Cosmology Ekpyrosis from Modified Gravity
• Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models
• Reconstruction and Stability Analysis of Some Cosmological Bouncing Solutions in $F(\mathcal{R},T)$ Theory
• Modified Gravity: the CMB, Weak Lensing and General Parameterisations
• How can holonomy corrections be introduced in $f(R)$ gravity?
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity

Cited by in corpus (13)

• Impact of dark matter galactic halo models on wormhole geometry within $f(Q,T)$ gravity
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Investigating early and late-time epochs in $f(Q)$ gravity
• 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