On the necessity of the revisions for the cosmological matter perturbations from the general relativity

Abstract

The differential equations, which are used for matter perturbations, are usually derived from the Newton gravity and the Euler equation in the expanded universe. In this paper, by the explicit calculations of metric perturbation theory in $\Lambda$CDM model, we derive the general relativistic corrections exactly for the equations and show that the differential equations derived from the Newton gravity and the Euler equation are valid in the small scale region from non-relativistic matter dominant era onwards. However the corrections are not negligible in radiation dominant era.

8 pages, LaTeX; the arguments in section 3 are corrected and the results are changed

References in corpus (2)

• A test of the nature of cosmic acceleration using galaxy redshift distortions
• The exact analytical solution of the linear structure growth rate in LCDM cosmology and its cosmological applications

Cited by in corpus (3)

• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity