A note on behaviour at an isotropic singularity

Details A note on behaviour at an isotropic singularity A note on behaviour at an isotropic singularity

2001-01-30

arxiv.org/abs/gr-qc/0101119v1

Class.Quant.Grav. 18 (2001) 1127-1136

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pp. plain latex. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/18/6/311

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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