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2008

LTB solutions in Newtonian gauge: from strong to weak fields

Van Acoleyen, Karel

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Lemaitre-Tolman-Bondi (LTB) solutions are used frequently to describe the collapse or expansion of spherically symmetric inhomogeneous mass distributions in the Universe.

These exact solutions are obtained in the synchronous gauge where nonlinear dynamics (with respect to the FLRW background) induce large deviations from the FLRW metric.
In this paper we show explicitly that this is a gauge artefact (for realistic sub-horizon inhomogeneities).
We write down the nonlinear gauge transformation from synchronous to Newtonian gauge for a general LTB solution using the fact that the peculiar velocities are small.

LTB solutions in Newtonian gauge: from strong to weak fields · Around

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