Large-scale clustering of galaxies in general relativity
By D. Jeong, F. Schmidt, C. Hirata. 2011
240 citations recorded by the source corpus.
Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significant on scales near the horizon. Here, we retrace these calculations and show that, on scales approaching the horizon, the observed galaxy power spectrum depends strongly on which gauge is assumed to relate the intrinsic fluctuations in galaxy density to matter perturbations through a linear bias relation. Starting from simple physical assumptions, we derive a gauge-invariant expression relating galaxy density perturbations to matter density perturbations on large scales, and show that it reduces to a linear bias relation in a synchronous-comoving gauge, corroborating an assumption made in several recent papers. We evaluate the resulting observed galaxy power spectrum, and show that it leads to corrections similar to an effective non-Gaussian bias corresponding to a local f_(NL,eff)≲0.5. This number can serve as a guideline as to which surveys need to take into account relativistic effects. We also discuss the scale-dependent bias induced by primordial non-Gaussianity in the relativistic context, which again is simplest in a synchronous-comoving gauge.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ca679b022278239934e1508e6e99bae2ea700dd2
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
- L. Senatore
- M. Zaldarriaga
- D. Green
- C. Hirata
- Valentin Assassi
- Kendrick M. Smith
- D. Baumann
- Uros Seljak
Citations in the corpus
- Probing primordial non-Gaussianity with SKA galaxy redshift surveys: a fully relativistic analysis (2014, methodology): “The relativistic effects are easily confused with the PNG contribution (Bruni et al. 2012; Jeong et al. 2012; Yoo et al. 2012; Raccanelli et al. 2014a).”
- Galaxy Bias and non-Linear Structure Formation in General Relativity (2011, result): “[40, 41, 42, 30] appeared which treat problems similar to ours and reach similar conclusions where there is overlap with our study.”
- Testing Inflation with Large Scale Structure: Connecting Hopes with Reality (2014, background): “With Gaussian initial conditions, the calculation reads (following the notation of [195])”