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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 4 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 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...

  4. 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.

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