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Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity

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arxiv 2210.09237 v1 pith:I3MZSZCX submitted 2022-10-17 gr-qc hep-th

Gaurav N. Gadbail , Sanjay Mandal , P.K. Sahoo This is my paper · ORCID
classification gr-qchep-th
keywords gravitylambdacosmologicalcosmologyevolutionflrwfunctionshistory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this manuscript, we present a number of fascinating explicit reconstructions for the $f(Q)$ gravity from the background of Friedmann-La\^imatre-Robertson-Walker (FLRW) evolution history. We find the more general functions of non-metricity scalar $Q$ that admit exact $\Lambda$CDM expansion history. Adding extra degrees of freedom to the matter sector is the only method to get the scale factor to behave in this manner for more generic functions of $Q$. In addition, a cosmological reconstruction for modified $f(Q)$ gravity is constructed in terms of e-folding. It is shown how any FLRW cosmology can arise from a specific $f(Q)$ theory. We also reconstruct the well-known cosmological evolution for the specific examples of $\Lambda$CDM cosmology.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Atomic clocks and gravitational waves as probes of non-metricity

    gr-qc 2026-01 reject novelty 5.0 of 10

    The paper claims existing gravitational-wave data already bound Weyl non-metricity, α²ω̄0<10⁻⁶⁹ GeV, via backreaction of a Planck-scale Weyl field, but a dropped kinetic term numerically exceeds the assumed sensitivity.

  2. Constraints on Logarithmic Model Extensions of Symmetric Teleparallel Gravity

    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

    Two new logarithmic f(Q) gravity models fit current cosmological data and predict contrasting, testable deviations in the effective gravitational coupling and gravitational-wave damping.

  3. Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension

    astro-ph.CO 2025-12 conditional novelty 4.0 of 10

    A sqrt(Q) correction in f(Q) gravity suppresses structure growth without altering the expansion history; fitted to RSD/DESI data it can bring sigma8 into agreement with Planck, at the cost of a sigma8-M degeneracy.

  4. Dynamical Dark Energy or Modified Gravity? Signatures in Gravitational Wave Propagation

    gr-qc 2025-09 conditional novelty 4.0 of 10

    Reconstructing the dark energy density from DESI BAO and DESyr5 supernovae, then recasting it as f(Q) gravity, predicts a low-redshift gravitational wave damping ν≈0.18 (≳2σ from GR) only for the DESyr5 dataset.

  5. Maxwell-$f(Q)$ theory

    gr-qc 2025-01 conditional novelty 4.0 of 10

    A proposed new charged AdS black hole in f(Q) gravity, but the claimed absence of an uncharged limit and the charge-induced cosmological constant conflict with the paper's own formulas.

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