Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity

Abstract

Symmetric Teleparallel Gravity allows for the reformulation of gravity in the form of nonmetricity by vanishing the contorsion term in the generic affine connection. Our focus is on investigating a recently proposed extension of this theory in which the Lagrangian has the form $f(Q,C)$ by incorporating the boundary term $C$. In this work, we first use a reconstruction approach in $f(Q,C)$ gravity that might admit the $\Lambda$CDM expansion history. Furthermore, we perform a novel approach for cosmological reconstruction of $f(Q,C)$ gravity in terms of e-folding, and it shows how any FLRW cosmology can arise from a specific $f(Q,C)$ gravity. A variety of instances are provided using this approach in which $f(Q,C)$ gravity is reconstructed to yield the well-known cosmic evolution: $\Lambda$CDM era, acceleration/deceleration era which is equivalent to the presence of phantom and non-phantom matter, late-time acceleration with the crossing of phantom-divide line and transient phantom era.

EPJC published version

References in corpus (24)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified teleparallel gravity: inflation without inflaton
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Teleparallel Gravity: From Theory to Cosmology
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Recent Advances on Inflation
• Covariant formulation of f(Q) theory
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Spherically symmetric configuration in $f(Q)$ gravity
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• On the impact of $f(Q)$ gravity on the Large Scale Structure
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• On the viability of $f(Q)$ gravity models
• Accelerating expansion of the universe in modified symmetric teleparallel gravity
• Phase-space analysis of a novel cosmological model in $f(Q)$ theory
• Geodesic Deviation Equation In $f(Q)$-Gravity
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Review on $f(Q)$ Gravity

Cited by in corpus (6)

• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Modified $f(Q)$ gravity models and their cosmological consequences
• Parameterized Deceleration in $f(Q,C)$ Gravity: A Logarithmic Approach
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Geometric acceleration in $f(Q,C)$ theories
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity