Novel scheme for simulating the force-free equations: Boundary conditions and the evolution of solutions towards stationarity

CARRASCO, FEDERICO; OSCAR REULA

PHYSICAL REVIEW D - PARTICLE AND FILDS

American Physical Society

Año: 2017

0556-2821

Force-Free Electrodynamics (FFE) describes a particular regime of magnetically dominated relativisticplasmas, which arises on several astrophysical scenarios of interest such as pulsars or activegalactic nuclei. In this article, we present a full 3D numerical implementation of the FFE evolutionaround a Kerr black hole. The novelty of our approach is three-folded: i) We use the multi-block"technique [1] to represent a domain with S2 R+ topology within a stable nite-dierences scheme.ii) We employ as evolution equations those arising from a covariant hyperbolization of the FFEsystem [2]. iii) We implement stable and constraint-preserving boundary conditions to represent anouter region given by a uniform magnetic eld aligned or misaligned respect to the symmetry axis.The construction of appropriate and consistent boundary conditions, both preserving the constraintsand physically immersing the system in a uniform magnetic eld, has allow us to obtainlong-term stationary solutions representing jets of astrophysical relevance. These numerical solutionsare shown to be consistent with previous studies.