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Cited by 82Black Holes and Theoretical PhysicsCosmology and Gravitation TheoriesAstrophysical Phenomena and Observations

Catastrophic Instability of Small Lovelock Black Holes

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Takahashi, T., Soda, J.·2010·Progress of Theoretical Physics
DOI 10.1143/ptp.124.711
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Abstract

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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  • For certain small Lovelock black holes, one of the effective metrics may change signature near, but outside, the horizon of the black hole.

    “It turns out that, for certain small Lovelock black holes, one of these metrics may change signature near, but outside, the horizon of the black hole.”

    From Causality and hyperbolicity of Lovelock theories (2014) · cites this paper as [25]

    Section 3.2 reports that sufficiently small Lovelock black holes can have an instability-producing negative region outside the horizon. Section 3.1 also says that a negative region of T outside the horizon gives perturbations a wrong-sign kinetic term. The paper does not describe this as an effective metric changing signature, so that specific interpretation is not established by our copy. (LLM, conf=0.82)

    Experimental — accuracy not yet measured

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Cited by

Sorted by citations

Authors
Takahashi, T., & Soda, J.
Affiliations
Kyoto University (JP)
ORCID
Soda, J.
Venue
Progress of Theoretical Physics
Publisher
Oxford University Press (OUP)
Published
2010-10-01
Volume
124
Issue
4
Pages
711-729
ISSN
  • 0033-068X (ISSN-L)
  • 1347-4081
DOI
10.1143/ptp.124.711
OpenAlex
W1976220556
Cited by
82
References
0
Citations by year
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FWCI
3.11
Type
journal article
Language
en
Open access
Locations
  • Progress of Theoretical Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
Keywords
black hole stability, higher-dimensional gravity, tensor perturbations, scalar perturbations, vector perturbations, small black holes

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