We solicit submissions for a Topical Collection on “Hyperboloidal foliations in the era of gravitational-wave astronomy: from mathematical relativity to astrophysics” of the journal General Relativity and Gravitation by Guest Editors David Hilditch, Rodrigo Panosso Macedo, Alex Vano Vinuales and Anil Zenginoglu:
In recent years, hyperboloidal methods have emerged as effective tools in the field of black-hole perturbation theory, finding wide-ranging applications in various areas, including the computation of long-time wave equations, quasi-normal modes, effective-one-body formalism, and self-force. Over the past decade, significant advancements have been made in computing generic solutions to nonlinear Einstein equations on hyperboloidal surfaces. These developments have propelled the field forward, enabling researchers to gain deeper insights into the behavior of black holes. The multidisciplinary nature of hyperboloidal methods have allowed for fruitful collaboration between mathematical relativity, numerical relativity and astrophysics, paving the way for further breakthroughs in our understanding of gravitational phenomena.
This topical collection aims to provide a review of the current state-of-the-art in the field, and lays out open problems on the way towards solving Einstein’s equations numerically in the non-linear regime.