Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics

Abstract

Editorial introducing the GRG Topical Collection "Hyperboloidal foliations in the era of gravitational-wave astronomy," on hyperboloidal slices. The collection includes contributions spanning black-hole perturbations, asymptotic geometry, initial-data, and high-accuracy numerical methods relevant to gravitational-wave modeling. The collection grew out of the 2023 "Infinity on a Gridshell" workshop in Copenhagen.

References in corpus (9)

• Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach
• The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
• Height-function-based 4D reference metrics for hyperboloidal evolution
• Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
• The ďAlembert solution in hyperboloidal foliations
• Hyperboloidal initial data without logarithmic singularities
• Superconvergent Discontinuous Galerkin Method for the Scalar Teukolsky Equation on Hyperboloidal Domains: Efficient Waveform and Self-Force Computation
• Numerical Evidence for Non-Axisymmetric Gravitational "Hair" for Extremal Kerr Black Hole Spacetimes with Hyperboloidal Foliations
• Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes