Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
arXiv:hep-th/0703074 · doi:10.1103/PhysRevD.76.024012
Abstract
Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to the Gauss-Bonnet correction to Einstein's equations, and was found in a previous work on linear stability of Einstein-Gauss-Bonnet black holes with constant curvature horizons in arbitrary dimensions. We study the unstable cases and calculate the values of the critical masses. The results are relevant to the issue of black hole production in high energy collisions.
9 pages, 2 figures
References in corpus (16)
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Classical Black Hole Production in High-Energy Collisions
- Master equations for perturbations of generalised static black holes with charge in higher dimensions
- Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Black Hole Production by Cosmic Rays
- Gravitational instability in higher dimensions
- Collider versus Cosmic Ray Sensitivity to Black Hole Production
- Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part II: vector and scalar perturbations
- Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part I: tensor perturbations
- Gravitational instability of Einstein-Gauss-Bonnet black holes under tensor mode perturbations
- Semiclassical suppression of black hole production in particle collisions
- Black hole production and Large Extra Dimensions
- Instability of the negative mass Schwarzschild naked singularity
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- On Black Hole Stability in Critical Gravities
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- The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework
- Universal slow fall-off to the unique AdS infinity in Einstein-Gauss-Bonnet gravity
- Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
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