Relativistic effects in Lyman-alpha forest

Abstract

We present the calculation of the Lyman-alpha (Lyman-$\alpha$) transmitted flux fluctuations with full relativistic corrections to the first order. Even though several studies exist on relativistic effects in galaxy clustering, this is the first study to extend the formalism to a different tracer of underlying matter at unique redshift range ($z=2-5$). Furthermore, we show a comprehensive application of our calculations of the Quasar-Lyman-$\alpha$ cross-correlation function. Our results indicate that the signal of relativistic effects is sizeable at Baryonic Acoustic Oscillation (BAO) scale mainly due to the large difference in density bias factors of our tracers. We construct an observable, the anti-symmetric part of the cross-correlation function, that is dominated by the relativistic signal and offers a new way to measure the relativistic terms at relatively small scales. The analysis shows that relativistic effects are important when considering cross-correlations between tracers with very different biases, and should be included in the data analysis of the current and future surveys. Moreover, the idea presented in this paper is highly complementary to other techniques and observable trying to isolate the effect of the relativistic corrections and thus test the validity of the theory of gravity beyond the Newtonian regime.

39 pages, 9 figures; added sections on bias of the relativistic effects & S/N ratio analysis; version matches one published in JCAP

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• The observed galaxy power spectrum in General Relativity
• Curvature constraints from Large Scale Structure
• Modeling relativistic contributions to the halo power spectrum dipole
• The Atacama Cosmology Telescope: Cosmology from cross-correlations of unWISE galaxies and ACT DR6 CMB lensing
• Gravity at the horizon: on relativistic effects, CMB-LSS correlations and ultra-large scales in Horndeski's theory
• Relativistic distortions in the large-scale clustering of SDSS-III BOSS CMASS galaxies
• The relativistic dipole and gravitational redshift on LSS
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• Constraining primordial non-Gaussianity from DESI quasar targets and Planck CMB lensing
• Higher order relativistic galaxy number counts: dominating terms
• The Ly$\alpha$ forest flux correlation function: a perturbation theory perspective
• Lensing convergence in galaxy clustering in LambdaCDM and beyond
• The triply-ionized carbon forest from eBOSS: cosmological correlations with quasars in SDSS-IV DR14
• The relativistic galaxy number counts in the weak field approximation
• The impact of relativistic effects on the 3D Quasar-Lyman-$\alpha$ cross-correlation
• N-body simulations of gravitational redshifts and other relativistic distortions of galaxy clustering
• Lensing smoothing of BAO wiggles
• The halo bias for number counts on the light cone from relativistic N-body simulations
• Large-scale imprint of relativistic effects in the cosmic magnification
• Relativistic and wide-angle corrections to galaxy power spectra
• Separating the memory of reionization from cosmology in the Ly$\alpha$ forest power spectrum at the post-reionization era
• Gravitational Redshift from Galaxy Clusters -- a Relativistic Approach