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Autoparallel curves along with geodesic curves can arise as trajectories of physical test bodies.
Taylor’s theorem in the tensor calculus
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How does one measure torsion of space-time?
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W. Adamowicz and A. Trautman · 1975
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P. von der Heyde · 1975
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Metric-affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance
F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne’eman · 1995
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Geometric classification of the torsion tensor of space-time
S. Capozziello, G. Lambiase, and C. Stornaiolo · 2001
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Unraveling gravity beyond Einstein with extended test bodies
D. Puetzfeld and Yu. N. Obukhov · 2013
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On Poincaré gauge theory of gravity, its equations of motion, and Gravity Probe B
F. W. Hehl, Yu. N. Obukhov, and D. Puetzfeld · 2013
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Equations of motion in metric-affine gravity: a covariant unified framework
D. Puetzfeld and Yu. N. Obukhov · 2014
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The New Mechanics of Myron Mathisson and its subsequent development
W. G. Dixon · 2015
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Multipolar test body equations of motion in generalized gravity theories
Yu. N. Obukhov and D. Puetzfeld · 2015
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Instabilities in metric-affine theories of gravity with higher order curvature terms
J. B. Jiménez and A. Delhom · 2020
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Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
D. Puetzfeld and Yu. N. Obukhov
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