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Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity

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arxiv 2103.08372 v2 pith:ALYIBWAJ submitted 2021-03-15 gr-qc hep-phnlin.CD

Wompherdeiki Khyllep , Andronikos Paliathanasis , Jibitesh Dutta This is my paper · ORCID
classification gr-qchep-phnlin.CD
keywords modellevelpainlevtestbackgroundbehaviorcosmologicalequations
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abstract

The present work studies one of Einstein's alternative formulations based on the non-metricity scalar $Q$ generalized as $f(Q)$ theory. More specifically, we consider the power-law form of $f(Q)$ gravity i.e. $f(Q)=Q+\alpha\, Q^n$. Here, we analyze the behavior of the cosmological model at the background and perturbation level. At the background level, we find the effective evolution of the model is the same as that of the $\Lambda$CDM for $|n|<1$. Interestingly, the geometric component of the theory solely determined the late-time acceleration of the Universe. We also examine the integrability of the model by employing the method of singularity analysis. In particular, we find the conditions under which field equations pass the Painlev\'{e} test and hence possess the Painlev\'{e} property. While the equations pass the Painlev\'{e} test in the presence of dust for any value of $n$, the test is valid after the addition of radiation fluid only for $n<1$. Finally, at the perturbation level, the behavior of matter growth index signifies a deviation of the model from the $\Lambda$CDM even for $|n|<1$.

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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. 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.

  3. 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.

  4. Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics

    gr-qc 2024-11 conditional novelty 4.0 of 10

    The authors derive a family of charged black hole metrics in f(R,T)=R+βT gravity with Lagrangian L=f0+F+αF^p, show they have curvature singularities at the origin, and use the Sgr A* shadow to place weak upper bounds ...

  5. Interacting quark matter and $f(Q)$ gravity: A new paradigm in exploring the properties of quark stars

    gr-qc 2024-12 reject novelty 3.0 of 10

    Exact quark star solutions in linear f(Q) gravity with an interacting quark matter equation of state yield 1.8 to 2.1 solar mass stars, but the f(Q) setup is equivalent to general relativity and the observed-radius ma...

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