Perturbations and Stability of Higher-Dimensional Black Holes
arXiv:0712.2703 · doi:10.1007/978-3-540-88460-6_11
Abstract
In this lecture, I explain the gauge-invariant formulation for perturbations of background spacetimes with untwisted homologous Einstein fibres, which include lots of practically important spacetimes such as static black holes, static black branes and rotating black holes in various dimensions. As applications, we discuss the stability of static black holes in higher dimensions and flat black branes.
45 pages, 9 figures. Based on the lecture given at the 4th Aegean Summer School. References added and typos corrected
References in corpus (10)
- Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
- Classical instability of Kerr-AdS black holes and the issue of final state
- A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
- Superradiance and Instability of Black Holes
- Phases of Five-Dimensional Black Holes
- Boundary Value Problem for Black Rings
- Superradiant instability of large radius doubly spinning black rings
- Origin of black string instability
- On the stability of AdS black strings
- Stability of Topological Black Holes
Cited by in corpus (6)
- Lovelock black holes with a nonlinear Maxwell field
- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Gravitational instability of simply rotating AdS black holes in higher dimensions
- Black Holes in Higher-Dimensional Gravity
- Accelerating a Black Hole in Higher Dimensions
- Normal Modes, Quasi-normal Modes and Super-radiant Modes for Scalar Fields in Kerr anti-de Sitter Spacetime