Generic Cosmic Censorship Violation in anti de Sitter Space

Details Generic Cosmic Censorship Violation in anti de Sitter Space Generic Cosmic Censorship Violation in anti de Sitter Space

2003-07-23

arxiv.org/abs/gr-qc/0307102v2

Phys.Rev.Lett. 92 (2004) 131101

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, v2: minor changes

Scientific paper

10.1103/PhysRevLett.92.131101

We consider (four dimensional) gravity coupled to a scalar field with potential V(\phi). The potential satisfies the positive energy theorem for solutions that asymptotically tend to a negative local minimum. We show that for a large class of such potentials, there is an open set of smooth initial data that evolve to naked singularities. Hence cosmic censorship does not hold for certain reasonable matter theories in asymptotically anti de Sitter spacetimes. The asymptotically flat case is more subtle. We suspect that potentials with a local Minkowski minimum may similarly lead to violations of cosmic censorship in asymptotically flat spacetimes, but we do not have definite results.

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