Nonlinear cosmological power spectra in Einstein's gravity

Abstract

Is Newton's gravity sufficient to handle the weakly nonlinear evolution stages of the cosmic large-scale structures? Here we resolve the issue by analytically deriving the density and velocity power spectra to the second order in the context of Einstein's gravity. The recently found pure general relativistic corrections appearing in the third-order perturbation contribute to power spectra to the second order. In this work the complete density and velocity power spectra to the second order are derived. The power transfers among different scales in the density power spectrum are estimated in the context of Einstein's gravity. The relativistic corrections in the density power spectrum are estimated to be smaller than the Newtonian one to the second order, but these could be larger than higher-order nonlinear Newtonian terms.

to appear in Phys. Rev. D, 6 pages, no figure

References in corpus (12)

• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Second Order Power Spectrum and Nonlinear Evolution at High Redshift
• Second-order Perturbations of the Friedmann World Model
• Properties of the Cosmological Density Distribution Function
• Self-Similar Evolution of Cosmological Density Fluctuations
• Cosmological nonlinear hydrodynamics with post-Newtonian corrections
• Second-order perturbations of cosmological fluids: Relativistic effects of pressure, multi-component, curvature, and rotation
• Third order perturbations of a zero-pressure cosmological medium: Pure general relativistic nonlinear effects
• Why Newton's gravity is practically reliable in the large-scale cosmological simulations
• Second order perturbations of a zero-pressure cosmological medium: Proofs of the relativistic-Newtonian correspondence
• Relativistic-Newtonian correspondence of the zero-pressure but weakly nonlinear cosmology
• Third-order cosmological perturbations of zero-pressure multi-component fluids: Pure general relativistic nonlinear effects

Cited by in corpus (6)

• General relativistic effects on non-linear power spectra
• Exact Analytic Solution for Non-Linear Density Fluctuation in a LCDM Universe
• Relativistic effects and primordial non-Gaussianity in the matter density fluctuation
• Gradient expansion, curvature perturbations and magnetized plasmas
• Infrared divergence of pure Einstein gravity contributions to cosmological density power spectrum
• Primordial vorticity and gradient expansion