BLOW-UP OF TEST FIELDS NEAR CAUCHY HORIZONS

The behaviour of test fields near a compact Cauchy horizon is investig ated. It is shown that solutions of nonlinear wave equations on Taub s pacetime with generic initial data cannot be continued smoothly to bot h extensions of the spacetime through the Cauchy horizon. This is prov ed using an energy method. Similar results are obtained for the spacet imes of Moncrief containing a compact Cauchy horizon and for more gene ral matter models.