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• W2804080805 abstract "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, the monopole $xi_0^{(s)}$, dipole $xi_1^{(s)}$ and quadrupole $xi_2^{(s)}$. We find that the dipole $xi_1^{(s)}$ is dominated by the gravitational redshift, which provide a unique opportunity to detect the gravitational potential of voids. Thus, for the dipole $xi_1^{(s)}(s)$, the gravitational redshift is crucial. Although the higher order effect is almost negligible on the monopole $xi_0^{(s)}$, it has an influence on the quadrupole $xi_2^{(s)}$. The effects from the random velocity of galaxies and the definition of the void center on the dipole signal are also discussed. Our model offers a new theoretical probe for the detection of gravitational redshift with voids and further tests on cosmology and gravity." @default.
• W2804080805 created "2018-06-01" @default.
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• W2804080805 date "2018-08-27" @default.
• W2804080805 modified "2023-10-15" @default.
• W2804080805 title "Gravitational redshift in the void-galaxy cross-correlation function in redshift space" @default.
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• W2804080805 doi "https://doi.org/10.1103/physrevd.98.043527" @default.
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