It a long title for a small paper that provides a decent overview. I’ll be honest, I’m struggling to get a grip on the PDE side of GR. Oh I don’t have much of a problem with the notation, the concepts, or the methods. What I do have a problem with is the motivation. I …
Category Archive: General Relativity
Nature of singularities in gravitational collapse
A very terse article giving an overview of the state of cosmic censorship in 99/00. Given it’s brevity I recommend a technical background in the differential topological techniques of GR. I assume that the article was written specifically for the conference proceedings, as this would explain a lot. Despite the lack of exposition I still …
Properties of global time functions
I’ve been spending a lot of time rereading a number of older papers on stable causality. Basically I want to get a handle on the types of techniques needed to manipulate them. For this Seifert’s 1977 paper is a gem. My particular interest is on the extension of a time function from a compact neighbourhood …
Stable causality implied by causality + ?
I’ve been reading some interesting papers showing that stable causality holds on a spacetime assuming that causality + some other condition holds. This is some really interesting stuff. Causality conditions on spacetimes describe how nicely behaved physics is. Causality is the condition that there are no closed causal curves. That is, no travelling back in …
Numerical relativity and singularity theory meet for a discussion of conformal infinity
I refer to the living review article by Jörg Frauendiener, “Conformal Infinity”. I really need to read the whole thing again, so I won’t make too many comments now. That being said the article contains an interesting discussion of the relevance of being able to smoothly move from the conformal null past to the conformal …