Nonperturbative gravito-magnetic fields

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.

Minor changes to match published version; to appear in Phys. Rev. D

References in corpus (4)

• Covariant Analysis of Gravitational Waves in a Cosmological Context
• Covariant velocity and density perturbations in quasi-Newtonian cosmologies
• Newtonian-like and anti-Newtonian universes
• Quasi-Newtonian dust cosmologies

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