On the perturbation of the luminosity distance by peculiar motions

On the perturbation of the luminosity distance by peculiar motions

On the perturbation of the luminosity distance by peculiar motions

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On the perturbation of the luminosity distance by peculiar motions We consider some aspects of the perturbation to the luminosity distance d ( z ) that are of relevance for SN1a cosmology and for future peculiar velocity surveys at non- negligible redshifts. 1) Previous work has shown that the correction to the lowest order perturba- tion d/d = − v/cz has the peculiar characteristic that it appears to depend on the absolute state of motion of sources, rather than on their motion relative to that of the observer. The resolution of this apparent violation of the equivalence principle is that it is necessary to allow for evolution of the velocities with time, and also, when considering perturbations on the scale of the observer-source separation, to include the gravitational redshift effect. We provide an expression for d/d that provides a physically consistent way to measure peculiar velocities and determine their impact for SN1a cosmology. 2) We then calculate the perturbation to the redshift as a function of source flux densit ...

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