Novel Cauchy-horizon instability

Details Novel Cauchy-horizon instability Novel Cauchy-horizon instability

2005-01-12

arxiv.org/abs/gr-qc/0501042v2

Phys.Rev. D71 (2005) 064015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 1 figure, final version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.71.064015

The evolution of weak discontinuity is investigated on horizons in the $n$-dimensional static solutions in the Einstein-Maxwell-scalar-$\Lambda$ system, including the Reissner-Nordstr\"om-(anti) de Sitter black hole. The analysis is essentially local and nonlinear. We find that the Cauchy horizon is unstable, whereas both the black-hole event horizon and the cosmological event horizon are stable. This new instability, the so-called kink instability, of the Cauchy horizon is completely different from the well-known ``infinite-blueshift'' instability. The kink instability makes the analytic continuation beyond the Cauchy horizon unstable.

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