On the differentiability of Cauchy horizons
نویسندگان
چکیده
Chruściel and Galloway constructed a Cauchy horizon that is nondifferentiable on a dense set. We prove that in a certain class of Cauchy horizons densely nondifferentiable Cauchy horizons are generic. We show that our class of densely nondifferentiable Cauchy horizons implies the existence of densely nondifferentiable Cauchy horizons arising from partial Cauchy surfaces and also the existence of densely nondifferentiable black hole event horizons. ∗1991 Mathematics Subject Classification 53C50, 53C80, 83C75.
منابع مشابه
A remark on differentiability of Cauchy horizons
In a recent paper Królak and Beem (1998 J. Math. Phys. at press) have shown differentiability of Cauchy horizons at all points of multiplicity one. In this note we give a simpler proof of this result. PACS numbers: 0420C, 0420G
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