id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_l4wcktla2rcxndlvqipecpa3mq	Erik Curiel	The Analysis of Singular Spacetimes	1999	32	.pdf	application/pdf	18344	897	57	of missing points and define a spacetime to be singular if and only if it contains incomplete, inextendible curves of a certain specified type, and the spacetime manifold itself satisfies a few collateral physically accessible manner,14 the discussants in the dialogue settle on simple geodesic incompleteness as the criterion for singular structure, conceding that the definition is perhaps overly inclusive, points ought not be a touchstone of discussion of singular structure in relativistic spacetimes. due to Geroch (1968a) fares much better with physically relevant spacetimes.46 In this construction, the so-called g-boundary, geodesic incompleteness rather than b-incompleteness defines singular structure, and one defines a boundary point to be an equivalence class of incomplete geodesics under the equivalence relation 'approach arbitrarily close to each other' (in a certain technical sense). weak: each incomplete geodesic of a singular spacetime must terminate at some boundary point; physical relevance of those boundary points that are approachable by curves in the spacetime.	./cache/work_l4wcktla2rcxndlvqipecpa3mq.pdf	./txt/work_l4wcktla2rcxndlvqipecpa3mq.txt