Redshift-space distortions from vector perturbations

Abstract

We compute a general expression for the contribution of vector perturbations to the redshift-space distortion of galaxy surveys. We show that they contribute to the same multipoles of the correlation function as scalar perturbations and should thus in principle be taken into account in data analysis. We derive constraints for next-generation surveys on the amplitude of two sources of vector perturbations, namely non-linear clustering and topological defects. While topological defects leave a very small imprint on redshift-space distortions, we show that the multipoles of the correlation function are sensitive to vorticity induced by non-linear clustering. Therefore future redshift surveys such as DESI or the SKA should be capable of measuring such vector modes, especially with the hexadecapole which appears to be the most sensitive to the presence of vorticity.

12 pages; colour figures

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Cited by in corpus (11)

• A systematic approach to generalisations of General Relativity and their cosmological implications
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• The Generation of Vorticity in Cosmological N-body Simulations
• Einstein Yang-Mills Higgs dark energy revisited
• General Relativistic Cosmological N-body Simulations I: time integration
• Vector modes in $\Lambda$CDM: the gravitomagnetic potential in dark matter haloes from relativistic $N$-body simulations
• Imprints of local lightcone projection effects on the galaxy bispectrum IV: Second-order vector and tensor contributions
• Redshift-space distortions from vector perturbations II: Anisotropic signal
• On the $2^{\text{nd}}$ feature of the matter two-point function
• Measuring the gravitomagnetic distortion from rotating halos I: methods
• Multifield curved solid: Early dark energy and perturbation instabilities