We study the wave form emitted by a particle moving along an arbitrary (in general open)
geodesic of the Schwarzschild geometry. The mathematical problem can be phrased in …

We present a novel study of Kerr Compton amplitudes in a partial wave basis in terms of the
Nekrasov-Shatashvili (NS) function of the confluent Heun equation (CHE). Remarkably, NS …

We reduce the study of perturbations of rotating black holes in higher-derivative extensions
of general relativity to a system of decoupled radial equations that stem from a set of …

We compute the spectrum of linearized gravitational excitations of black holes with
substantial angular momentum in the presence of higher-derivative corrections to general …

We give explicit expressions for the finite frequency greybody factor, quasinormal modes,
and Love numbers of Kerr black holes by computing the exact connection coefficients of the …

A bstract We show that holographic thermal two-sided two-point correlators take the form of
a product over quasi-normal modes (QNMs). Due to this fact, the two-point function admits a …

We perform a detailed study of a class of irregular correlators in Liouville Conformal Field
Theory, of the related Virasoro conformal blocks with irregular singularities and of their …

This is an unconventional review article on spectral problems in black hole perturbation
theory. Our purpose is to explain how to apply various known techniques in quantum …

A bstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild
(anti) de Sitter background. When dealing with a positive cosmological constant, the …

Deep conceptual problems associated with classical black holes can be addressed in string
theory by the “fuzzball” paradigm, which provides a microscopic description of a black hole …