1210.0676 (Jai-chan Hwang et al.)

Newtonian limit of fully nonlinear cosmological perturbations in Einstein's gravity    [PDF]

Jai-chan Hwang, Hyerim Noh

We prove that in the infinite speed-of-light limit (i.e., non-relativistic and subhorizon limits), the relativistic fully nonlinear cosmological perturbation equations in two gauge conditions, the zero-shear gauge and the uniform-expansion gauge, exactly reproduce the Newtonian hydrodynamic perturbation equations in the cosmological background; as a consequence, in the same two gauge conditions, the Newtonian hydrodynamic equations are exactly recovered in the Minkowsky background.

View original: http://arxiv.org/abs/1210.0676