In a varying-Lambda Einstein-Cartan theory, homogeneous and isotropic spacetimes can violate parity via torsion, adding a genuine new degree of freedom with Weyl curvature.
(96) Working out the Poisson bracket between the two constraints we now find: {V2,H2} = Λ ( 1− 3P 4a3Λ ) 6 H2 + ΛP ( 2a3− 3P Λ ) 48a4
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Parity violating Friedmann Universes
In a varying-Lambda Einstein-Cartan theory, homogeneous and isotropic spacetimes can violate parity via torsion, adding a genuine new degree of freedom with Weyl curvature.