Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime
Abstract
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 correspond to the linearisation of a second order metric formulation of the conformal Einstein field equations (CEFEs). These linear equations were first presented in [1] and the main purpose of this paper is to illustrate, through numerical evolutions, the scri-fixing technique via gauge source functions introduced [1] for the linearised CEFEs. A comparison of evolutions using scri-fixing gauge sources and trivial gauge source function in spherical and axial symmetry is presented.
Cite
@article{arxiv.2503.08672,
title = {Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime},
author = {Christian Peterson and Edgar Gasperín and Alex Vañó-Viñuales},
journal= {arXiv preprint arXiv:2503.08672},
year = {2025}
}
Comments
18 pages, 10 figures. Submitted to topical collection "Hyperboloidal foliations in the era of gravitational-wave astronomy: from mathematical relativity to astrophysics" of General Relativity and Gravitation