Stability of the Cauchy horizon in anti-de Sitter spacetime

Details Stability of the Cauchy horizon in anti-de Sitter spacetime Stability of the Cauchy horizon in anti-de Sitter spacetime

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..51.5517h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 51, Issue 10, 15 May 1995, pp.5517-5521

Physics

9

Singularities And Cosmic Censorship

Scientific paper

A previously developed Cauchy horizon stability conjecture is used to investigate the stability of the Cauchy horizon in the covering space of anti-de Sitter spacetime when infalling and outgoing null dust is introduced. With infalling null dust, the Cauchy horizon is found to be stable, except for the single point r=0 to which the dust collapses. An exact solution of the field equations is presented containing infalling null dust, which reduces to anti-de Sitter spacetime when the dust is removed and which has a nonsingular Cauchy horizon except for a shell-focusing singularity at r=0. The conjecture predicts a nonscalar curvature singularity at r=0, but in fact the shell-focusing singularity is a scalar curvature singularity. When both infalling and outgoing null dust test fields are introduced, the Cauchy horizon is predicted to be stable except for a scalar curvature singularity at r=0.

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