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Application of Colombeau's Generalized Functions to Cosmological Models with Signature Change

Reza Mansouri·Kourosh Nozari
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Abstract

Colombeau's generalized functions are used to adapt the distributional approach to singular hypersurfaces in general relativity with signature change. Equations governing the dynamics of singular hypersurface is obtained and it is shown that the stress-energy tensor of the surface can be non-vanishing.

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Reza Mansouri, Kourosh Nozari. 1998-06-01. Application of Colombeau's Generalized Functions to Cosmological Models with Signature Change. https://arxiv.org/abs/gr-qc/9806007

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