Exact model of gravitational wave and pure radiation

TL;DR

This paper constructs an exact, non-perturbative model of a gravitational wave with pure radiation, analyzing its properties and implications within Einstein's field equations, including the effects of dust matter and applications to Bianchi type IV universe.

Contribution

It provides the first exact non-perturbative solution for gravitational waves with pure radiation and explores their propagation and characteristics in specific cosmological models.

Findings

Dust matter contradicts Einstein's equations in this model.

An exact solution for gravitational wave and pure radiation is derived.

A retardet time equation for radiation is obtained.

Abstract

An exact non-perturbative model of a gravitational wave with pure radiation is constructed. It is shown that the presence of dust matter in this model contradicts Einstein's field equations. Exact solution of Einstein equations for gravitational wave and pure radiation is obtained. The trajectories of propagation and characteristics of radiation are found. For the considered exact model of a gravitational wave, a retardet time equation for radiation is obtained. The obtained results are used to construct an exact model of gravitational wave and pure radiation for Bianchi type IV universe.