CaltechAUTHORS
Published January 20, 2011 | Version Published
Journal Article Open

General Relativistic Effects on Nonlinear Power Spectra

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Leiden University
  • 3. ROR icon European Organization for Nuclear Research
  • 4. ROR icon Korea Astronomy and Space Science Institute
  • 5. ROR icon Kyungpook National University

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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Published - Jeong2011p13134Astrophys_J.pdf

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Additional details

Identifiers

Eprint ID
23030
Resolver ID
CaltechAUTHORS:20110322-091234406

Funding

Robinson prize postdoctoral fellowship at the California Institute of Technology
Netherlands Organisation for Scientific Research (NWO)
MEST
2010-0000302
Korea Research Foundation
KRF-2008-341-C00022

Dates

Created
2011-03-30
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field