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Nonperturbative gravito-magnetic fields

Carlos Sopuerta·Roy Maartens·George Ellis·William Lesame
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Abstract

In a cold matter universe, the linearized gravito-magnetic tensor field satisfies a transverse condition (vanishing divergence) when it is purely radiative. We show that in the nonlinear theory, it is no longer possible to maintain the transverse condition, since it leads to a non-terminating chain of integrability conditions. These conditions are highly restrictive, and are likely to hold only in models with special symmetries, such as the known Bianchi and $G_2$ examples. In models with realistic inhomogeneity, the gravito-magnetic field is necessarily non-transverse at second and higher order.

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Carlos Sopuerta, Roy Maartens, George Ellis, William Lesame. 1999-04-17. Nonperturbative gravito-magnetic fields. https://doi.org/10.1103/physrevd.60.024006

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