The mass function method for obtaining exact solutions of Einstein equations

TL;DR

The paper demonstrates that the mass function method simplifies finding exact solutions to Einstein's equations, introduces new solutions including black holes with non-baryonic matter, and extends known solutions in cosmological contexts.

Contribution

It introduces and applies the mass function method to derive new and existing exact solutions of Einstein's equations, including black holes with matter.

Findings

New exact solutions for black holes with non-baryonic matter

Simplification of Einstein equations solving process

Extension of solutions to cosmological backgrounds

Abstract

We show that the mass function method makes it much easier to obtain the exact solutions of Einstein equations. The known solutions for empty space and for the universe filled with dust-like matter are considered from the point of view of the method and new exact solutions are obtained. Generalized solutions for the Schwarzschild type black holes are considered. It is shown that such black holes always contain non-baryonic matter. New exact solution for the black hole embedded into dust matter cosmological background is obtained.