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Geometry and covariance of symmetric teleparallel theories of gravity

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arxiv 2306.09289 v3 pith:4QI2GD7Q submitted 2023-06-15 gr-qc hep-th

Daniel Blixt , Alexey Golovnev , Maria-Jose Guzman , Ramazan Maksyutov This is my paper · ORCID
classification gr-qchep-th
keywords teleparallelcovariantsymmetriccovariantisationequationsexplicitlyframeworksgravity
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We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantisation procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantisation at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly-conserved teleparallel tetrad for the symmetric teleparallel frameworks.

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Cited by 7 Pith papers

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

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    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.

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  3. Free fall in modified symmetric teleparallel gravity

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  4. Neutron stars in $f(Q) = Q +\xi Q^2$ gravity

    gr-qc 2026-07 conditional novelty 4.5 of 10

    In f(Q)=Q+ξQ² gravity with realistic EOSs, negative ξ increases neutron-star maximum masses while positive ξ decreases them, with exterior spacetime remaining Schwarzschild.

  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.

  7. Is there any Trinity of Gravity, to start with?

    gr-qc 2024-11 unverdicted novelty 2.0 of 10

    The teleparallel equivalents of general relativity are reformulations with unobservable extra structures, so there is no geometric trinity of gravity.

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