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The Symmetric Teleparallel Gravity

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arxiv gr-qc/0611077 v1 pith:B4MGE27F submitted 2006-11-14 gr-qc

M. Adak (Pamukkale U.) This is my paper · ORCID
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We study symmetric teleparallel (STP) gravity model, in which only spacetime non-metricity is nonzero. First we obtain STP equivalent Einstein-Hilbert Lagrangian and give an approach for a generic solution in terms of only metric tensor. Then we obtain a spherically symmetric static solution to the Einstein's equation in STP space-time and discuss the singularities. Finally, we study a model given by a Lagrangian 4-form quadratic in non-metricity. Thus, we seek Schwarzschild-type solutions because of its observational success and obtain some sets of solutions. Finally, we discuss physical relevance of the solutions.

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Cited by 5 Pith papers

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  1. 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 ...

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

    gr-qc 2025-12 conditional novelty 6.0 of 10

    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...

  3. Weak Gravity Limit in Newer General Relativity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    In Newer GR, stable tensor and vector sectors force one coefficient combination to its GR value, and the STEGR-plus-gradient-squared model carries 3/2 new dynamical modes, not 1.

  4. 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.

  5. 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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