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The existence, established over the past number of years and supporting earlier work of Ori [14], of physically relevant black hole spacetimes that admit $C^0$ metric extensions beyond the future Cauchy horizon, while being $C^2$-inextendible, has focused attention on fundamental issues concerning the strong cosmic censorship conjecture.
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G. J. Galloway, Cosmological spacetimes with Λ > 0 \Lambda>0 , Advances in differential geometry and general relativity, Contemp. Math., vol. 359, Amer. Math. Soc., Providence, RI, 2004, pp. 87–101
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H. Ringström, Cosmic censorship for Gowdy spacetimes , Living Reviews in Relativity 13
2010
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P. T. Chruściel and J. D. E. Grant, On Lorentzian causality with continuous metrics , Classical Quantum Gravity 29
2012
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2015
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