Journal
PROGRESS OF THEORETICAL PHYSICS
Volume 124, Issue 4, Pages 711-729Publisher
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
DOI: 10.1143/PTP.124.711
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Funding
- Ministry of Education, Science and Culture of Japan [22540274]
- Global COE Program The Next Generation of Physics, Spun from Universality and Emergence
- [22244030]
- [21111006]
- Grants-in-Aid for Scientific Research [22540274] Funding Source: KAKEN
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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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