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

by: Jai-chan Hwang, Hyerim Noh
(2 Oct 2012)  Key: citeulike:11375313

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Abstract

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.


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