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A Solution to Symmetric Teleparallel Gravity

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arxiv gr-qc/0412007 v1 pith:T646JMX2 submitted 2004-12-02 gr-qc

classification gr-qc
keywords spacetimeteleparallelcurvaturegravitynonmetricitysolutionzeroconstrained
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Teleparallel gravity models, in which the curvature and the nonmetricity of spacetime are both set zero, are widely studied in the literature. We work a different teleparallel theory, in which the curvature and the torsion of spacetime are both constrained to zero, but the nonmetricity is nonzero. After reformulating the general relativity in this spacetime we find a solution and investigate its singularity structure.

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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. 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. Primary Constraints of Newer General Relativity

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Primary constraint analysis of Newer General Relativity recovers five tensor and three vector constraints and identifies a previously unreported scalar-sector degeneracy that produces one or two constraints depending ...

  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. Dynamics of late time universe in $f(Q)$ gravity

    gr-qc 2025-04 reject novelty 3.0 of 10

    A constant-jerk Hubble law is fitted to cosmic chronometer and Pantheon data, then used to evaluate three f(Q) gravity models, yielding acceleration, quintessence or phantom EoS, and SEC violation.

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