Article In: orcid
Pseudospectral implementation of the Einstein-Maxwell system
SciPost Phys.
— 2025 — SciPost
Key information
Authors:
Published in
10/27/2025
Abstract
Electromagnetism plays an important role in a variety of applications in gravity that we wish to investigate. To that end, in this work, we present an implementation of the Maxwell equations within the adaptive-mesh pseudospectral numerical relativity code BAMPS. We perform a thorough analysis of the evolution equations as a first order symmetric hyperbolic system of PDEs. This includes both the construction of the characteristic variables for use in our penalty boundary communication scheme, as well as radiation controlling, constraint preserving outer boundary conditions which, for the first time in a numerical context, are shown to be boundary-stable. After choosing a formulation of the Maxwell constraints that we may solve for initial data, we move on to show a suite of numerical tests. Our simulations, both within the Cowling approximation, and in full non-linear evolution, demonstrate rapid convergence of error with resolution, as well as consistency with known quasinormal decay rates on the Kerr background. Finally we evolve the electrovacuum equations of motion with strong data, a good representation of typical critical collapse runs.
Publication details
Authors in the community:
Hannes Robert Rüter
ist429770
David Hilditch
ist427844
Publisher
SciPost
Link to the publisher's version
https://scipost.org/10.21468/SciPostPhys.19.4.112
Title of the publication container
SciPost Phys.
First page or article number
112
Volume
19
Fields of Science and Technology (FOS)
physical-sciences - Physical sciences
Keywords
- Black Holes
- Gravity
Publication language (ISO code)
eng - English
Rights type:
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