Relativistic Angular Redshift Fluctuations embedded in Large Scale Varying Gravitational Potentials

Abstract

We compute the linear order, general relativistic corrections to angular redshift fluctuations (ARF), a new cosmological observable built upon density-weighted two-dimensional (2D) maps of galaxy redshifts. We start with an existing approach for galaxy/source counts developed in the Newtonian gauge, and generalize it to ARF, modifying for this purpose a standard Boltzmann code. Our calculations allow us identifying the velocity terms as the leading corrections on large scales, emphasizing the sensitivity of ARF to peculiar, cosmological velocity fields. Just like for standard 2D clustering, the impact of gravitational lensing on ARF is dominant on small angular scales and for wide redshift shells, while the signatures associated to gravitational potentials are extremely small and hardly detectable. The ARF also present interesting correlation properties to anisotropies of the Cosmic Microwave Background (CMB): they are highly correlated to CMB lensing potential fluctuations, while also exhibiting a significant (S/N$\sim 4$-$5$) {\em anti-}correlation with the Integrated Sachs-Wolfe effect (ISW). This negative ARF$\times$ISW signal is quite complementary to the standard 2D clustering$\times$ISW correlation, since the former appears mostly at higher redshift ($z\sim 2$) than the latter ($z\lesssim 1)$, and the combination of the two observables significantly increases the ${\chi }^2$ statistics testing the null (no ISW) hypothesis. We conclude that ARF constitute a novel, alternative, and potentially powerful tool to constrain the nature of Dark Energy component that gives rise to the ISW.

25 pages, 7 figures, comments welcome!

References in corpus (20)

• The EAGLE project: Simulating the evolution and assembly of galaxies and their environments
• A Semi-Analytic Model for the Co-evolution of Galaxies, Black Holes, and Active Galactic Nuclei
• Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements
• Baryon Acoustic Oscillation Intensity Mapping as a Test of Dark Energy
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• SPT-3G: A Next-Generation Cosmic Microwave Background Polarization Experiment on the South Pole Telescope
• An Imprint of Super-Structures on the Microwave Background due to the Integrated Sachs-Wolfe Effect
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
• ACTPol: A polarization-sensitive receiver for the Atacama Cosmology Telescope
• Possibility of Precise Measurement of the Cosmological Power Spectrum With a Dedicated 21cm Survey After Reionization
• Erratum - The many lives of AGN: cooling flows, black holes and the luminosities and colours of galaxies
• Fast Radio Bursts and cosmological tests
• Scale-dependent bias from primordial non-Gaussianity in general relativity
• Cosmology-independent estimate of the fraction of baryon mass in the IGM from fast radio burst observations
• A flexible subhalo abundance matching model for galaxy clustering in redshift space
• Euclid preparation: XIX. Impact of magnification on photometric galaxy clustering
• Complete Treatment of Galaxy Two-Point Statistics: Gravitational Lensing Effects and Redshift-Space Distortions
• Evidence for a high-z ISW signal from supervoids in the distribution of eBOSS quasars
• Implementation of a Fourier Matched Filter in CMB Analyses. Application to ISW Studies
• Redshift weighted galaxy number counts