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.
Raychaudhuri equation in spacetimes with torsion
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abstract
Given a spacetime with nonvanishing torsion, we discuss the equation for the evolution of the separation vector between infinitesimally close curves in a congruence. We show that the presence of a torsion field leads, in general, to tangent and orthogonal effects on the congruence; in particular, the presence of a completely generic torsion field contributes to a relative acceleration between test particles. We derive, for the first time in the literature, the Raychaudhuri equation for a congruence of timelike and null curves in a spacetime with the most generic torsion field.
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2026 2verdicts
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A one-parameter deformation of conformal coupling in Einstein-Cartan gravity produces exact torsional black hole and wormhole solutions with a scalar field.
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Torsional black holes and wormholes in Einstein-Cartan-Maxwell gravity with a conformal scalar field
A one-parameter deformation of conformal coupling in Einstein-Cartan gravity produces exact torsional black hole and wormhole solutions with a scalar field.