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Original
2013
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E. Di Dio, F. Montanari, J. Lesgourgues, and R. Durrer, The CLASSgal code for Relativistic Cosmological Large Scale Structure
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2013
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R. A. C. Croft, Gravitational redshifts from large-scale structure
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2013
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2014
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Then

E. Gaztanaga, C. Bonvin, and L. Hui, Measurement of the dipole in the cross-correlation function of galaxies
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2017
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S. Alam, H. Zhu, R. A. C. Croft, S. Ho, E. Giusarma, and D. P. Schneider, Relativistic distortions in the large-scale clustering of SDSS-III BOSS CMASS galaxies
Original
2017
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A. Hall and C. Bonvin, Measuring cosmic velocities with 21 cm intensity mapping and galaxy redshift survey cross-correlation dipoles
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2017
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C. Bonvin, S. Andrianomena, D. Bacon, C. Clarkson, R. Maartens, T. Moloi, and P. Bull, Dipolar modulation in the size of galaxies: The effect of Doppler magnification
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2017
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2018

The relativistic dipole and gravitational redshift on LSS

Di Dio, Enea, Seljak, Uros

Understand

We compute the dipole of the galaxy correlation function at 1-loop in perturbation theory by including all the relevant relativistic contributions.

This provides a description and understanding of what the dipole truly measures, in particular in relation to the gravitational redshift effect in Large Scale Structure.
In order to develop this perturbative approach we have computed for the first time the relevant relativistic corrections to third order in perturbation theory, including the corresponding non-linear galaxy bias model.
This perturbative approach agrees on a wide range of scales with good accuracy with previous numerical results based on geodesic light tracing in N-body simulations.