Erratum

The problem of extending a space-time through a boundary point motivates the study of space-times where the metric is not necessarily twice differentiable. In order to correct the differentiability classes used in the author's previous work, it is shown, first, that unique timelike geodesies exist provided only that the Riemann tensor and the first derivatives of the metric are bounded; and, secondly, that a space-time can be extended subject to Hölder continuity of the Riemann tensor. Also discussed are the possible reductions that might be made in the level of differentiability.