Stability of the Black Hole Horizon and the Landau Ghost

Details Stability of the Black Hole Horizon and the Landau Ghost Stability of the Black Hole Horizon and the Landau Ghost

1994-06-16

arxiv.org/abs/gr-qc/9406024v1

Phys.Rev. D50 (1994) 7239-7243

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, RevTeX

Scientific paper

10.1103/PhysRevD.50.7239

The stability of the black hole horizon is demanded by both cosmic censorship and the generalized second law of thermodynamics. We test the consistency of these principles by attempting to exceed the black hole extremality condition in various process in which a U(1) charge is added to a nearly extreme Reissner--Nordstr\"om black hole charged with a {\it different\/} type of U(1) charge. For an infalling spherical charged shell the attempt is foiled by the self--Coulomb repulsion of the shell. For an infalling classical charge it fails because the required classical charge radius exceeds the size of the black hole. For a quantum charge the horizon is saved because in order to avoid the Landau ghost, the effective coupling constant cannot be large enough to accomplish the removal.

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