A resolution of a metric singularity associated with the introduction of. into static spherically symmetric systems

摘要

We resolve a metric singularity at large r that is due to the introduction of the cosmological constant. in simple static spherically symmetric systems in classical general relativity for a mass bounded within a radius r(0). For the metric to be nonsingular, we find that ordinary matter must exist beyond r(0), and that mass densities and. must have spatial ranges. These features can be developed covariantly and can ameliorate discrepancies between theoretical values of. and those derived from astronomical observations. Requiring a nonsingular metric in classical general relativistic modeling of this and other physical systems has the potential to offer suggestive insights into cosmological parameters.