Catastrophic Instability of Small Lovelock Black Holes

Details Catastrophic Instability of Small Lovelock Black Holes Catastrophic Instability of Small Lovelock Black Holes

2010-08-10

arxiv.org/abs/1008.1618v2

Prog.Theor.Phys.124:711-729,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 3 figures; v2: references added

Scientific paper

10.1143/PTP.124.711

We study the stability of static black holes in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We show that Lovelock black holes are stable under vector perturbations in all dimensions. However, we prove that small Lovelock black holes are unstable under tensor perturbations in even-dimensions and under scalar perturbations in odd-dimensions. Therefore, we can conclude that small Lovelock black holes are unstable in any dimensions. The instability is stronger on small scales and hence catastrophic in the sense that there is no smooth descendant.

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