On the differentiability of Cauchy horizons

Details On the differentiability of Cauchy horizons On the differentiability of Cauchy horizons

1999-03-28

arxiv.org/abs/gr-qc/9903098v1

J.Math.Phys. 40 (1999) 5138-5142

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTex

Scientific paper

10.1063/1.533021

Chrusciel 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.

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