Instability of Small Lovelock Black Holes in Even-dimensions

Abstract

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.

14 pages, 2 figures

References in corpus (11)

• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Higher order gravity theories and their black hole solutions
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Astrophysical implications of hypothetical stable TeV-scale black holes
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Stability of Lovelock Black Holes under Tensor Perturbations
• A Note on Separability of Field Equations in Myers-Perry Spacetimes

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