Instability of small Lovelock black holes in even dimensions

Journal Article · Sun Nov 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.104021· OSTI ID:21313372

Takahashi, Tomohiro; Soda, Jiro ^[1]

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1. Department of Physics, Kyoto University, Kyoto, 606-8501 (Japan)

We study the stability of static black holes in Lovelock theory, which is a natural higher dimensional generalization of Einstein theory. We derive a master equation for tensor perturbations in general Lovelock theory. It turns out that the resultant equation is characterized by one functional which determines the background black hole solutions. Thus, the stability issue of static black holes under tensor perturbations in general dimensions is reduced to an algebraic problem. We show that small Lovelock black holes in even-dimensions are unstable.

• OSTI ID: 21313372
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 10; Other Information: DOI: 10.1103/PhysRevD.80.104021; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
BLACK HOLES
DISTURBANCES
EQUATIONS
GENERAL RELATIVITY THEORY
INSTABILITY
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
STABILITY