Stability of the Cauchy horizon and scalar curvature singularity without mass inflation in two-dimensional dilaton black holes

Details Stability of the Cauchy horizon and scalar curvature singularity without mass inflation in two-dimensional dilaton black holes Stability of the Cauchy horizon and scalar curvature singularity without mass inflation in two-dimensional dilaton black holes

May 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53.5698c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 10, 15 May 1996, pp.5698-5704

Physics

3

Classical Black Holes, Singularities And Cosmic Censorship, Lower Dimensional Models, Minisuperspace Models

Scientific paper

The stability of the Cauchy horizons is investigated in two-dimensional (2D) dilaton black holes possessing multihorizon structures. For the Cauchy horizon with nonvanishing surface gravity, the Cauchy horizon will be converted into a nonscalar curvature singularity under the perturbation of the purely infalling null dust, and a scalar curvature singularity will be formed at the Cauchy horizon when the 2D dilaton black holes are perturbed by both outgoing and infalling null dust. For the Cauchy horizon with vanishing surface gravity, we find that the Cauchy horizon can be completely stable when p>=1+2/b, and mass inflation can take place only if p<1+1/b, but a scalar curvature singularity will still be formed along the Cauchy horizon when 1+1/b<=p<1+2/b, where the constant p comes from the infalling radiation with the power-law tail v-p-1, and b means that the equation determining the horizons has b+1 degenerate roots at the Cauchy horizon. When quantum effects are considered, the classical stable Cauchy horizon is still quantum mechanically unstable and is converted into a scalar curvature singularity. In addition, this paper can also be acted as a further test of the Cauchy-horizon stability conjecture suggested recently by Helliwell and Konkowski.

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