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Linear Cosmological perturbations in $f(Q)$ Gravity

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arxiv 2206.02517 v1 pith:GIVIPCNM submitted 2022-06-06 gr-qc

Shambel Sahlu , Endalkachew Tsegaye This is my paper · ORCID
classification gr-qc
keywords gravityuniversegrowthmodelappliedbeencontrastscosmological
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abstract

In this manuscript, we studied the accelerated expansion history of the universe and the formations of large-scale structures using $f(Q)$ gravity model. The expansion rate of the universe within distance modulus and redshift has been performed in $f(Q)$ gravity. This work is also devoted to investigating the linear cosmological perturbations in the $f(Q)$ gravity model using the $1 + 3$ covariant formalism. The scalar and harmonic decomposition techniques are applied to find the evolution equation. The growth of matter density contrasts is analyzed with redshift $z$. Using the nonmetricity modified gravity model which is $f (Q) = Q+\alpha Q^n$, the accelerating expanding universe and the formations of the large-scale structures have been explained. The quasi-static approximation technique is applied to analyze the growth of matter contrasts. The growth of density contrast is studied within the dust and radiation-dominated universe in the presence of nonmetricity gravity.

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Cited by 2 Pith papers

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

  1. Reproducing $\Lambda$CDM-like Solutions in $f(Q)$ Gravity: A Comprehensive Study Across All Connection Branches

    gr-qc 2025-01 conditional novelty 6.0 of 10

    For all three symmetric teleparallel connection branches, f(Q) gravity can be reconstructed to reproduce exactly the LambdaCDM background expansion, analytically for two branches and numerically for the third.

  2. Cosmology with Distinct Functions $f$ of the Non-metricity Scalar $Q$ : A Dynamical System Approach

    gr-qc 2025-06 reject novelty 3.0 of 10

    A fixed-point stability catalog for six f(Q) gravity models is presented, but the catalog tables contradict the paper's own equations.

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