General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure?

By Jaiyul Yoo. 2010

222 citations recorded by the source corpus.

We extend the general relativistic description of galaxy clustering developed in Yoo, Fitzpatrick, and Zaldarriaga (2009). For the first time we provide a fully general relativistic description of the observed matter power spectrum and the observed galaxy power spectrum with the linear bias ansatz. It is significantly different from the standard Newtonian description on large scales and especially its measurements on large scales can be misinterpreted as the detection of the primordial non-Gaussianity even in the absence thereof. The key difference in the observed galaxy power spectrum arises from the real-space matter fluctuation defined as the matter fluctuation at the hypersurface of the observed redshift. As opposed to the standard description, the shape of the observed galaxy power spectrum evolves in redshift, providing additional cosmological information. While the systematic errors in the standard Newtonian description are negligible in the current galaxy surveys at low redshift, correct general relativistic description is essential for understanding the galaxy power spectrum measurements on large scales in future surveys with redshift depth z ≥ 3. We discuss ways to improve the detection significance in the current galaxy surveys and comment on applications of our general relativistic formalism in future surveys.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/b656d48e41408538a77d58ecae1999b92cba15ea

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Instrumentation

Citations in the corpus

Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “The full expression for C`(z1, z2) are found in [210, 84, 415], see also [298, 1267, 1266].”
The CLASSgal code for relativistic cosmological large scale structure (2013, unknown): “[9–13].”
Probing primordial non-Gaussianity with SKA galaxy redshift surveys: a fully relativistic analysis (2014, background): “The remaining relativistic contributions are both local and integrated terms (Yoo et al. 2009; Yoo 2010; Bonvin & Durrer 2011; Challinor & Lewis 2011; Jeong et al. 2012; Bertacca et al. 2012), namely δobsg = (b+∆b)δcs− (1 + z) H (ni∂i) 2V −2 (1−Q)κ+δloc+δint.”
Galaxy Bias and non-Linear Structure Formation in General Relativity (2011, background): “Related work on the way to derive the bias of the local form in the General Relativistic context has appeared in [10, 11, 12, 13] and a connection of the latter to primordial non-Gaussianities of the local form has been made in [14].”
Constraining primordial non-Gaussianity with future galaxy surveys (2011, background): “A further reason to discard larger scales is to avoid the regime where general relativistic corrections become important, as described e.g. by Yoo (2010).”