Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical
gravitational backgrounds involving black holes or branes naturally lead to quasinormal …

Perturbations of black holes, initially considered in the context of possible observations of
astrophysical effects, have been studied for the past 10 years in string theory, brane-world …

We review black-hole solutions of higher-dimensional vacuum gravity and higher-
dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with …

The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled
the search for new stationary solutions of the Einstein equation (possibly coupled to matter) …

These lecture notes, based on a course given at the Zürich Clay Summer School (June 23–
July 18 2008), review our current mathematical understanding of the global behaviour of …

The study of higher-dimensional black holes is a subject which has recently attracted vast
interest. Perhaps one of the most surprising discoveries is a realization that the properties of …

A bstract Kerr-AdS d+ 1 black holes for d≥ 3 suffer from classical superradiant instabilities
over a range of masses above extremality. We conjecture that these instabilities settle down …

Any spacetime containing a degenerate Killing horizon, such as an extremal black hole,
possesses a well-defined notion of a near-horizon geometry. We review such near-horizon …

A black ring is a five-dimensional black hole with an event horizon of topology S 1× S 2. We
provide an introduction to the description of black rings in general relativity and string theory …

Bizon and Rostworowski have recently suggested that anti-de Sitter spacetime might be
nonlinearly unstable to transferring energy to smaller and smaller scales and eventually …