Gravitational redshift in the void-galaxy cross-correlation function in redshift space

@article{Nan2018GravitationalRI,
  title={Gravitational redshift in the void-galaxy cross-correlation function in redshift space},
  author={Yue Nan and Kazuhiro Yamamoto},
  journal={Physical Review D},
  year={2018}
}
We construct an analytic model for the void-galaxy cross-correlation function that enables theoretical predictions of the dipole signal produced dominantly by the gravitational redshift within voids for the first time. By extending a theoretical formulation for the redshift-space distortion of galaxies to include the second order terms of the galaxy peculiar velocity $\bm v$ and the gravitational potential, we formulate the void-galaxy cross-correlation function multipoles in the redshift space… 

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