dS/CFT, CENSORSHIP, INSTABILITY OF HYPERBOLIC HORIZONS, AND SPACELIKE BRANES

Cosmic Censorship relies on the validity of an energy condition, usually taken to be the Dominant Energy Condition. The dS/CFT correspondence furnishes a context in which the DEC can be deduced and need not be assumed; on the other hand, naked singularities arise naturally in asymptotically deSitter spaces when the cosmological horizon has a hyperbolic structure, and there is evidence that the boundary CFT is unitary precisely in this case. Thus, Cosmic Censorship and the dS/CFT correspondence are closely related and can shed light on each other. We argue that the Seiberg-Witten “large brane” stability criterion implies that AdS black holes with hyperbolic event horizons are radically unstable in string theory. A non-trivial adaptation of this result to the deSitter case implies that naked singularities associated with hyperbolic cosmological horizons cannot be stable. We suggest that the Hull-Gutperle-Strominger spacelike branes [specifically, “late branes”] may be responsible for this effect. Thus Censorship is enforced by dS/CFT in this particular case, and some light is shed on the way it is enforced.