A New Type of Singularity Theorem
Jos\'e M. M. Senovilla
TL;DR
This paper introduces a novel singularity theorem using spatial averages of physical quantities, offering a new way to distinguish between singular and non-singular cosmological models.
Contribution
It presents a new type of singularity theorem based on spatial averages, providing a criterion to identify singularity-free spacetimes.
Findings
Decisive observational difference between singular and non-singular models
Conditions under which a spacetime can be free of singularities
Theorem applicable to globally hyperbolic, open cosmological models
Abstract
A new type of singularity theorem, based on spatial averages of physical quantities, is presented and discussed. Alternatively, the results inform us of when a spacetime can be singularity-free. This theorem provides a decisive observational difference between singular and non-singular, globally hyperbolic, open cosmological models.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Advanced Mathematical Theories and Applications