About Signature-Change Metrics on Manifolds

TL;DR

This paper introduces a new family of Lorentz-Riemann signature-change models on manifolds, generalizing existing models, with a focus on local expressions near the hypersurface of change.

Contribution

It proposes a one-parameter family of signature-change models that extend Kossowski's models, providing simpler local expressions around the change hypersurface.

Findings

Generalization of signature-change models on manifolds.

Derivation of simple local expressions near the hypersurface.

Extension of previous models to a broader family.

Abstract

We provide a one-parameter family of Lorentz-Riemann signature-change models of metric manifolds. This family generalizes the Kossowski's signature type-changihg stablished in [9]. Simple local expressions are sought around the hypersurface of change.