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Gauge Approach to The Symmetric Teleparallel Gravity

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arxiv 1809.01385 v1 pith:TDDZLDBZ submitted 2018-09-05 gr-qc

Muzaffer Adak This is my paper · ORCID
classification gr-qc
keywords gaugegravityansatzapplicationapproachargueconformallycurvature
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We discuss a gauge invariant gravity model in a non-Riemannian geometry in which the curvature and the torsion both are zero, the nonmetricity is nonzero. We also argue that only a metric ansatz is enough to start finding solutions to the field equations. As an application we obtain explicitly a conformally flat solution.

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Cited by 6 Pith papers

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

  1. Foldy--Wouthuysen Transformation of the Generalized Dirac Equation in Symmetric Teleparallel Gravity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    A Foldy-Wouthuysen reduction of the generalized Dirac equation in symmetric teleparallel gravity produces new spin-gravity, spin-momentum-gravity, and tidal couplings controlled by unknown parameters.

  2. Dynamical systems approach and cosmological attractors in newer general relativity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In vacuum flat cosmology, type 1 newer general relativity cannot drive late-time acceleration, while type 2 theories produce either phantom or non-phantom dark energy depending on the sign of one free parameter.

  3. Symmetric Teleparallel Connection and Spherical Solutions in Newer GR

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The authors derive a unified spherical connection from the coincident gauge and present two new vacuum solution families in Newer GR, with no GR counterpart.

  4. Symmetric teleparallel gravitational effects on solar neutrino oscillations

    gr-qc 2026-02 conditional novelty 5.0 of 10

    Three non-metricity couplings of symmetric teleparallel gravity would imprint on solar neutrino oscillation phases — a2/a4 only for opposite spin orientations, b3 as a universal mass shift — with bounds set by current...

  5. ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.

  6. 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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