7 papers
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…
Stable evolution of relativistic hydrodynamics order-by-order in gradients
Michal P. Heller, Alexandre Serantes, Michał Spaliński +1
We provide a systematic framework for solving the initial value problem for relativistic hydrodynamics formulated as a gradient expansion. Secular growth is handled by a suitable c…
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,…
QNM orthogonality relations for AdS black holes
Paolo Arnaudo, Javier Carballo, Benjamin Withers
We present orthogonality relations for quasinormal modes of a wide class of asymptotically AdS black holes. The definition is obtained from a standard product, modified by a CPT op…
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…