Blow-Up of Test Fields Near Cauchy Horizons

نویسنده

  • J. Rauch
چکیده

The behaviour of test fields near a compact Cauchy horizon is investigated. It is shown that solutions of nonlinear wave equations on Taub spacetime with generic initial data cannot be continued smoothly to both extensions of the spacetime through the Cauchy horizon. This is proved using an energy method. Similar results are obtained for the spacetimes of Moncrief containing a compact Cauchy horizon and for more general matter models. * Partially supported by NSF grant DMS 8601783 and Office of Naval Research grant ONR NO 014 92 J 1245 1

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تاریخ انتشار 1993