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arXiv · 1210.0676

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

Jai-chan Hwang·Hyerim Noh
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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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Jai-chan Hwang, Hyerim Noh. 2013-07-01. Newtonian limit of fully nonlinear cosmological perturbations in Einstein's gravity. https://doi.org/10.1088/1475-7516%2F2013%2F04%2F035

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