Conformal Geometrodynamics: Exact Nonstationary Spherically Symmetric Solutions

TL;DR

This paper derives exact nonstationary spherically symmetric solutions for conformal geometrodynamics, enabling the study of space-time singularity evolution without relying on perturbation theory.

Contribution

It provides the first exact solutions in quadratures for nonstationary spherically symmetric conformal geometrodynamics equations, incorporating Weyl degrees of freedom.

Findings

Exact solutions in quadratures for the equations obtained

Arbitrary initial data can be considered due to Weyl degrees of freedom

Open new avenues for studying space-time singularity evolution

Abstract

A nonstationary spherically symmetric problem for conformal geometrodynamics equations is considered and general exact solutions in quadratures are obtained. Involvement of Weyl degrees of freedom allows us to consider the problem with arbitrary initial data, as for the conformal geometrodynamics equations the Cauchy problem is set up without connections to initial data. The results of this paper are not confined with the framework of the perturbation theory and open up new avenues for study of the process of space-time singularity evolution in time.