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Equations of motion in metric-affine gravity: A covariant unified framework

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arxiv 1408.5669 v2 pith:7DUGBQPA submitted 2014-08-25 gr-qc

Dirk Puetzfeld , Yuri N. Obukhov This is my paper · ORCID
classification gr-qc
keywords gravitybodiesmetric-affinemotioncoupledcovariantdeformableequations
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We derive the equations of motion of extended deformable bodies in metric-affine gravity. The conservation laws which follow from the invariance of the action under the general coordinate transformations are used as a starting point for the discussion of the dynamics of extended deformable test bodies. By means of a covariant approach, based on Synge's world function, we obtain the master equation of motion for an arbitrary system of coupled conserved currents. This unified framework is then applied to metric-affine gravity. We confirm and extend earlier findings; in particular, we once again demonstrate that it is only possible to detect the post-Riemannian spacetime geometry by ordinary (non-microstructured) test bodies if gravity is nonminimally coupled to matter.

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Cited by 3 Pith papers

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

  1. Massive and massless particles in Mielke--Baekler geometries

    hep-th 2026-07 conditional novelty 6.0 of 10

    In teleparallel Mielke–Baekler (AdS) spacetimes, spinning particle actions split into regular and critical sectors; the critical massive sector obeys a Papapetrou-like spin-curvature equation, and massless conformal N...

  2. Tidal Forces in the Presence of Torsion and Nonmetricity

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Tidal acceleration of autoparallels in metric-affine gravity separates into Newtonian gravity plus linear post-Riemannian corrections from torsion and nonmetricity that can be decomposed into irreducible Lorentz components.

  3. Equivalence Principle violation in metric-affine gravity and finite-temperature effects

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    Metric-affine gravity formulates equivalence principle violations via non-metricity that parallel finite-temperature mass-ratio shifts, and a generalized Fermi-Walker derivative shows no orthonormal tetrad propagates ...

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