A perturbative analytical model of gravitational waves on an exact Bianchi IV background is derived via the proper-time method and shown to be stable.
Deviation of geodesics, particle trajectories and the propagation of radiation in gravitati onal waves in Shapovalov type III wave spacetimes
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Linear perturbations of an exact gravitational wave in the Bianchi IV universe
A perturbative analytical model of gravitational waves on an exact Bianchi IV background is derived via the proper-time method and shown to be stable.