Inhomogeneity effect in Wainwright-Marshman space-times

Understand

Green and Wald have presented a mathematically rigorous framework to study, within general relativity, the effect of small scale inhomogeneities on the global structure of space-time.

• The framework relies on the existence of a one-parameter family of metrics that approaches the effective background metric in a certain way.
• Although it is not necessary to know this family in an exact form to predict properties of the backreaction effect, it would be instructive to find explicit examples.
• In this paper, we provide the first example of such a family of exact non-vacuum solutions to the Einstein's equations.