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A resolution of a metric singularity associated with the introduction of Λ into static spherically symmetric systems
https://doi.org/10.1142/S0218271817500390Cited by:2 (Source: Crossref)
Abstract
We resolve a metric singularity at large r that is due to the introduction of the cosmological constant Λ in simple static spherically symmetric systems in classical general relativity for a mass bounded within a radius r0. For the metric to be nonsingular, we find that ordinary matter must exist beyond r0, and that mass densities and Λ must have spatial ranges. These features can be developed covariantly and can ameliorate discrepancies between theoretical values of Λ 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.
PACS: 04.20.Cv, 04.20.Dw, 04.20.Ex
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