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arXiv · 2608.12212

A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes

Ujjwal Agarwal·Sante Carloni
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Abstract

A rigorous framework for consistent study of junctions in a coordinate independent manner is presented. This is achieved by extending a theory of distributions in curved spacetimes with torsion and combining it with covariant formalism. In this way, one can derive general conditions on the differentiability of the joined manifold. Given a specific theory of gravity, in particular the Einstein-Cartan-Sciama-Kibble one, we evaluate the conditions for obtaining a smooth junction. These conditions can be successfully applied independently of the choice of coordinates used to describe the metric, thereby, evading the drawbacks of coordinate dependent Israel-Darmois framework.

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Ujjwal Agarwal, Sante Carloni. 2026-08-12. A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes. https://arxiv.org/abs/2608.12212

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