4 papers
Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics
David Hilditch, Rodrigo Panosso Macedo, Alex Vañó-Viñuales +1
Editorial introducing the GRG Topical Collection "Hyperboloidal foliations in the era of gravitational-wave astronomy," on hyperboloidal slices. The collection includes contributio…
Hyperboloidal neutron star and black hole initial data in spherical symmetry
Alex Vañó-Viñuales
The focus of this work is on the construction of initial data including a neutron star on a hyperboloidal slice. As simplest scenario for this first step, spherical symmetry is con…
Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime
Christian Peterson, Edgar Gasperín, Alex Vañó-Viñuales
Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspon…
Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes
Flavio Rossetti, Alex Vañó-Viñuales
In this numerical work, we deal with two distinct problems concerning the propagation of waves in cosmological backgrounds. In both cases, we employ a spacetime foliation given in…