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A note on behaviour at an isotropic singularity

Brien C. Nolan
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Abstract

The behaviour of Jacobi fields along a time-like geodesic running into an isotropic singularity is studied. It is shown that the Jacobi fields are crushed to zero length at a rate which is the same in every direction orthogonal to the geodesic. We show by means of a counter-example that this crushing effect depends crucially on a technicality of the definition of isotropic singularities, and not just on the uniform degeneracy of the metric at the singularity.

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Brien C. Nolan. 2001-01-30. A note on behaviour at an isotropic singularity. https://doi.org/10.1088/0264-9381%2F18%2F6%2F311

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