The second fundamental form of a spatial slice in a torsional spacetime is a sum of the Hubble term and an extrinsic torsion term, producing a negative bias in Hubble estimates when torsion is neglected.
Specific Effect of Peculiar Velocities on Dark-Energy Constraints from Type Ia Supernovae
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Peculiar velocities of type Ia supernova (SNIa) host galaxies affect the dark-energy parameter constraints in a small but very specific way: the parameters are biased in a single direction in parameter space that is a-priori knowable for a given SNIa dataset. We demonstrate the latter fact with a combination of inference from a cosmological N-body simulation with overwhelming statistics applied to the Pantheon SNIa data set, then confirm it by simple quantitative arguments. We quantify small modifications to the current analyses that would ensure that the effect of cosmological parameters is essentially guaranteed to be negligible.
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Intrinsic Torsion, Extrinsic Torsion, and the Hubble Parameter
The second fundamental form of a spatial slice in a torsional spacetime is a sum of the Hubble term and an extrinsic torsion term, producing a negative bias in Hubble estimates when torsion is neglected.