Galaxy two-point correlation function in general relativity

Scaccabarozzi, Fulvio; Yoo, Jaiyul; Biern, Sang Gyu

doi:10.1088/1475-7516/2018/10/024

Cited by 35 publications

(44 citation statements)

References 63 publications

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“…This is due to the fact that we have not taken into account corrections due to the observer's peculiar motion. Indeed, the latter contributes to the dipole and this renders the total 2-point correlation function independent of the physics beyond super-Hubbles scales, restoring causality as shown in [46]. However, as it emerges from Figs.…”

Section: A Lensingmentioning

confidence: 78%

Cosmic variance of $H_0$ in light of forthcoming high-redshift surveys

Fanizza,

Fiorini,

Marozzi

2021

Preprint

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Forthcoming surveys will extend the understanding of cosmological large scale structures up to unprecedented redshift. According to this perspective, we present a fully relativistic framework to evaluate the impact of stochastic inhomogeneities on the determination of the Hubble constant. To this aim, we work within linear perturbation theory and relate the fluctuations of the luminosity distance-redshift relation, in the Cosmic Concordance model, to the intrinsic uncertainty associated to the measurement of H0 from high-redshift surveys (0.15 ≤ z ≤ 3.85). We first present the detailed derivation of the luminosity distance-redshift relation 2-point correlation function and then provide analytical results for all the involved relativistic effects, such as peculiar velocity, lensing, time delay and (integrated) Sachs-Wolfe, and their angular spectra. Hence, we apply our analytical results to the study of high-redshift Hubble diagram, according to what has been recently claimed in literature. Following the specific of Euclid Deep Survey and LSST, we conclude that the cosmic variance associated with the measurement of the Hubble constant is at most of 0.1 %. Our work extends the analysis already done in literature for closer sources, where only peculiar velocity has been taken into account. We then conclude that deep surveys will provide an estimation of the H0 which will be more precise than the one obtained from local sources, at least in regard of the intrinsic uncertainty related to a stochastic distribution of inhomogeneities.

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Section: A Lensingmentioning

confidence: 78%

Cosmic variance of $H_0$ in light of forthcoming high-redshift surveys

Fanizza,

Fiorini,

Marozzi

2021

Preprint

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“…Hence the error made in the previous calculations is cutoff dependent. If we consider the two-point correlation function [46], the observer terms give rise to a few percent corrections to the galaxy two-point correlation function beyond the baryonic acoustic oscillation scale (however, note that the potential contributions to the two-point correlation function in previous calculations are again cutoff dependent and hence the error made there involves the choice of the cutoff).…”

Section: Summary and Discussionmentioning

confidence: 99%

Non-linear general relativistic effects in the observed redshift

Fanizza

Yoo

Biern

2018

J. Cosmol. Astropart. Phys.

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We present the second-order expression for the observed redshift, accounting for all the relativistic effects from the light propagation and from the frame change at the observer and the source positions. We derive the generic gauge-transformation law that any observable quantities should satisfy, and we verify our second-order expression for the observed redshift by explicitly checking its gauge transformation property. This is the first time an explicit verification is made for the second-order calculations of observable quantities. We present our results in popular gauge choices for easy use and discuss the origin of disagreements in previous calculations. arXiv:1805.05959v2 [gr-qc]

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“…The impact of the kinematic dipole on galaxy-clustering statistics has been mostly neglected so far. A few theoretical studies exist that discuss how the dipole influences the galaxy two-point correlation function (Hamilton & Culhane 1996) also accounting for relativistic light-cone effects (Scaccabarozzi et al 2018;Maartens et al 2018;Bertacca 2020). In this work, we derive an exact analytical expression for the power spectrum of the kinematic dipole and show that it leads to an enhanced monopole moment on large scales.…”

Section: Introductionmentioning

confidence: 87%

The large-scale monopole of the power spectrum in a Euclid-like survey: wide-angle effects, lensing, and the `finger of the observer'

Elkhashab,

Porciani,

Bertacca

2021

Preprint

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Radial redshift-space distortions due to peculiar velocities and other light-cone effects shape the maps we build of the Universe. We address the open question of their impact onto the monopole moment of the galaxy power spectrum, 𝑃 0 (𝑘). Specifically, we use an upgraded numerical implementation of the method to generate 140 mock galaxy density fields for a full Euclid-like survey and we measure 𝑃 0 (𝑘) in each of them utilising a standard estimator. We compare the spectra obtained by turning on and off different effects. Our results show that wide-angle effects due to radial peculiar velocities generate excess power above the level expected within the plane-parallel approximation. They are detectable with a signal-to-noise ratio of 2.7 for 𝑘 < 0.02 ℎ Mpc −1 . Weak-lensing magnification also produces additional power on large scales which, if the current favourite model for the luminosity function of H𝛼 emitters turns out to be realistic, can only be detected with a signal-to-noise ratio of 1.3 at best. Finally, we demonstrate that measuring 𝑃 0 (𝑘) in the standard of rest of the observer generates an additive component reflecting the kinematic dipole overdensity caused by the peculiar velocity. This component is characterised by a damped oscillatory pattern on large scales. We show that this 'finger of the observer' effect is detectable in some redshift bins and suggest that its measurement could possibly open new research directions in connection with the determination of the cosmological parameters, the properties of the galaxy population under study, and the dipole itself.

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Galaxy two-point correlation function in general relativity

Cited by 35 publications

References 63 publications

Cosmic variance of $H_0$ in light of forthcoming high-redshift surveys

Cosmic variance of $H_0$ in light of forthcoming high-redshift surveys

Non-linear general relativistic effects in the observed redshift

The large-scale monopole of the power spectrum in a Euclid-like survey: wide-angle effects, lensing, and the `finger of the observer'

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