Abstract The Laser Interferometer Space Antenna (LISA) will be a transformative experiment
for gravitational wave astronomy, and, as such, it will offer unique opportunities to address …

In this paper, which is of programmatic rather than quantitative nature, we aim to further
delineate and sharpen the future potential of the LISA mission in the area of fundamental …

This review is focused on tests of Einstein's theory of general relativity with gravitational
waves that are detectable by ground-based interferometers and pulsar-timing experiments …

General relativity has passed all solar system experiments and neutron star based tests,
such as binary pulsar observations, with flying colors. A more exotic arena for testing …

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin
angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector …

According to the no-hair theorem, astrophysical black holes are uniquely characterized by
their masses and spins and are described by the Kerr metric. Several parametric spacetimes …

Circumambient and galactic-scale environments are intermittently present around black
holes, especially those residing in active galactic nuclei. As supermassive black holes …

General relativity predicts that black holes are described by the Kerr metric, which has
integrable geodesics. This property is crucial to produce accurate waveforms from extreme …

The Kerr geometry admits the Carter symmetry, which ensures that the geodesic equations
are integrable. It is shown that gravitational waveforms associated with extreme-mass-ratio …

The detection of gravitational waves from extreme-mass-ratio inspirals with upcoming space-
borne detectors will allow for unprecedented tests of general relativity in the strong-field …