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Lagrange formulation of the symmetric teleparallel gravity

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arxiv gr-qc/0505025 v3 pith:SUBOJPS6 submitted 2005-05-05 gr-qc

Muzaffer Adak , Mestan Kalay , Ozcan Sert (Pamukkale Unv. , Turkey) This is my paper · ORCID
classification gr-qc
keywords solutionsformulationgravitynon-metricityschwarzschild-typesymmetricteleparallelbecause
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We develop a symmetric teleparallel gravity model in a space-time with only the non-metricity is nonzero, in terms of a Lagrangian quadratic in the non-metricity tensor. We present a detailed discussion of the variations that may be used for any gravitational formulation. We seek Schwarzschild-type solutions because of its observational significance and obtain a class of solutions that includes Schwarzschild-type, Schwarzschild-de Sitter-type and Reissner-Nordstr\"{o}m-type solutions for certain values of the parameters. We also discuss the physical relevance of these solutions.

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Cited by 12 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. Scale-invariant Schr\"{o}dinger geometry in symmetric teleparallel gravity

    gr-qc 2026-07 conditional novelty 6.0 of 10

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  3. Primary Constraints of Newer General Relativity

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    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 ...

  4. Degrees of freedom of a quadratic scalar-nonmetricity theory

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    In quadratic scalar-nonmetricity gravity, Hamiltonian analysis shows 10, 8, and 8 degrees of freedom for cases II, V, and VI, while linear cosmological perturbation theory sees only 10, 6, and 5, indicating hidden str...

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

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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.

  6. Symmetric Teleparallel Connection and Spherical Solutions in Newer GR

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    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.

  7. Conformal Gravity and Transformations in the Symmetric Teleparallel Framework

    gr-qc 2019-08 conditional novelty 6.0 of 10

    A conformally invariant gravity action built from the square of a non-metricity scalar gives second-order field equations in symmetric teleparallel gravity.

  8. 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...

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    f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.

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    The scalar-tensor representation of f(Q) gravity reproduces the known ghost/strong-coupling obstruction, so the pathology is not an artifact of the original variables.

  12. Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension

    gr-qc 2025-11 reject novelty 3.0 of 10

    A nonminimal f(Q) gravity model fitted to CC, DESI BAO and three supernova samples gives H0 ≈ 68 km/s/Mpc, similar to ΛCDM, and is disfavored by BIC.

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