Pure radiation in space-time models that admit integration of the eikonal equation by the separation of variables method

TL;DR

This paper studies space-time models with pure radiation that allow the eikonal equation to be integrated via separation of variables, providing explicit solutions for metrics, energy density, and wave vectors applicable to various gravitational theories.

Contribution

It introduces a method to integrate the eikonal equation in pure radiation space-time models and derives explicit metric and radiation properties for all such models.

Findings

Explicit forms of metrics, energy densities, and wave vectors for pure radiation models.

Unified approach applicable to various metric theories of gravitation.

Solutions facilitate analysis of radiation in different gravitational contexts.

Abstract

We consider space-time models with pure radiation, which admit integration of the eikonal equation by the method of separation of variables. For all types of these models, the equations of the energy-momentum conservation law were integrated. The resulting form of metric, energy density and wave vectors of radiation as functions of metric for all types of spaces under consideration is presented. The solutions obtained can be used for any metric theories of gravitation.