This review is concerned with the gravitational self-force acting on a mass particle in orbit
around a large black hole. Renewed interest in this old problem is driven by the prospects of …

Inspirals of stellar-mass compact objects into massive black holes are an important source
for future gravitational wave detectors such as Advanced LIGO and LISA. The detection and …

Using black hole perturbation theory, we calculate the gravitational waves produced by test
particles moving on bound geodesic orbits about rotating black holes. The orbits we …

We present a new numerical code developed for the evolution of binary black-hole
spacetimes using different initial data and evolution techniques. The code is demonstrated …

We present a new numerical scheme to solve the initial value problem for black hole–
neutron star binaries. This method takes advantage of the flexibility and fast convergence of …

We have developed the formalism necessary to employ the discontinuous-Galerkin
approach in general-relativistic hydrodynamics. The formalism is first presented in a general …

We present a new technique for time-domain numerical evolution of the scalar-field
generated by a pointlike scalar charge orbiting a black hole. Time-domain evolution offers …

We report on the possibility of detecting a submillimetre-sized extra dimension by observing
gravitational waves (GWs) emitted by point-like objects orbiting a braneworld black hole …

This paper reviews some aspects in the current relationship between mathematical and
numerical general relativity. Focus is placed on the description of isolated systems, with a …

We present a new, simple method for calculating the scalar, electromagnetic, and
gravitational self-forces acting on particles in orbit around a Kerr black hole. The standard …