22 citations · 39 across the 13 of their papers we have counts for
5 papers · 1 filter
Bouncing singularities in Schwarzschild: a geometric origin of the QNM convergence region
Paolo Arnaudo, Benjamin Withers
We show analytically that the convergence of the QNM expansion of the retarded Green's function of the Schwarzschild spacetime is set by a singularity in the complex time plane. Th…
Price's law from quasinormal modes
Paolo Arnaudo, Benjamin Withers
We show that Price's power-law tail for perturbations of Schwarzschild, as , can be obtained from a sum of Schwarzschild-de Sitter quasinormal modes in…
Beyond quasinormal modes: a complete mode decomposition of black hole perturbations
Paolo Arnaudo, Javier Carballo, Benjamin Withers
We show that retarded Green's functions of black hole spacetimes can be expressed as a convergent mode sum everywhere in spacetime. At late times a quasinormal mode sum converges,…
Transients in black hole perturbation theory
Jérémy Besson, Javier Carballo, Christiana Pantelidou +1
Black hole quasinormal modes arise as eigenmodes of a non-normal Hamiltonian and consequently they do not obey orthogonality relations with respect to commonly used inner products,…
Non-modal effects in black hole perturbation theory: Transient Superradiance
Javier Carballo, Christiana Pantelidou, Benjamin Withers
We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of line…