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I'm currently writing a dissertation on trapped surfaces as minimal surfaces. I have exhausted all of the resources I have, and the internet is pretty limited (in that it is fairly repetitive on just defining what a trapped surface is).

I wondered if anyone could recommend any articles/papers which delve into the more mathematical side or even more detail on these surfaces (in particular as the apparent horizon).

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What have you looked at so far? Have you seen all of hte Ashtekar and Krishnan papers? The sean hayward stuff? My dissertation? –  Jerry Schirmer Jan 9 at 16:29
    
So far I've used several books, namely on Spacetime, Geometry, Cosmology, the Conformal structure of spacetime and black holes. –  Sarah Jayne Jan 9 at 16:32
    
Sorry, no I'm not familiar with those papers? –  Sarah Jayne Jan 9 at 16:32
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arxiv.org/abs/1009.0934 The bibliography has a bunch of citations to related papers. The Ashtekar and Krishnan series is very, very good, there are a bunch of them in the arxiv, and here is the one on living reviews in relativity: relativity.livingreviews.org/Articles/lrr-2004-10 –  Jerry Schirmer Jan 9 at 16:36
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Fantastic! Thank you so much! I really appreciate it, I look forward to going through them. –  Sarah Jayne Jan 9 at 16:38
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