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Regularity of curve integrable spacetimes

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Published Article
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DOI: 10.1007/s10714-015-1922-4
arXiv ID: 1502.06458
Source
arXiv
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Abstract

The idea of defining a gravitational singularity as an obstruction to the dynamical evolution of a test field (described by a PDE) rather than the dynamical evolution of a particle (described by a geodesics) is explored. In particular, the concept of field regularity is introduced which serves to describe the well-posedness of the local initial value problem for a given field.In particular this is applied to (classical) scalar fields in the class of curve integrable spacetimes to show that the classical singularities do not interrupt the well-posedness of the wave equation.

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