General Relativistic Effects on Nonlinear Power Spectra

Creators: Jeong, Donghui; Gong, Jinn-Ouk; Noh, Hyerim; Hwang, Jai-Chan

Abstract

The nonlinear nature of Einstein's equation introduces genuine relativistic higher order corrections to the usual Newtonian fluid equations describing the evolution of cosmological perturbations. We study the effect of such novel nonlinearities on the next-to-leading order matter and velocity power spectra for the case of a pressureless, irrotational fluid in a flat Friedmann background. We find that pure general relativistic corrections are negligibly small over all scales. Our result guarantees that, in the current paradigm of standard cosmology, one can safely use Newtonian cosmology even in nonlinear regimes.

Additional Information

2011 American Astronomical Society. Received 2010 November 11; accepted 2010 November 12; published 2010 December 28. J.G. thanks Misao Sasaki and Takahiro Tanaka for useful conversations, and is grateful to the Yukawa Institute for Theoretical Physics, Kyoto University for hospitality during the workshop YITP-W-10-10 where part of this work was carried out. This work was supported in part by a Robinson prize postdoctoral fellowship at the California Institute of Technology (D.J.), a VIDI and a VICI Innovative Research Incentive Grant from the Netherlands Organisation for Scientific Research (NWO; J.G.), the Mid-career Research Program through National Research Foundation funded by the MEST (No. 2010-0000302; H.N.), and the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-341-C00022; J.H.).

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