Curvature Singularities: the Good, the Bad, and the Naked

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Necessary conditions are proposed for the admissibility of singular classical solutions with 3+1-dimensional Poincare invariance to five-dimensional gravity coupled to scalars. Finite temperature considerations and examples from AdS/CFT support the conjecture that the scalar potential must remain bounded above for a solution to be physical. Having imposed some restrictions on naked singularities allows us to comment on a recent proposal for solving the cosmological constant problem.
56 pages, 7 figures. Trouble printing the figures? Check out http://viper.princeton.edu/~ssgubser/hades/README

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