1998/09/30 by Carlos F. Sopuerta, Carlos Sopuerta, Roy Maartens +3
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #Physics #Quantum electrodynamics #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.60.024006
published as Phys.Rev. D60 (1999) 024006 · Minor changes to match published version; to appear in Phys. Rev. D
arxiv created 1999/04/17 · openalex publication_date 1999/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 G2 examples. In models with realistic inhomogeneity, the gravito-magnetic field is necessarily non-transverse at second and higher order.