Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system
Numerical Analysis
2025-10-20 v1 Numerical Analysis
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means. We present a discretized version of this system which is suitable for numerical implementation and is based on the particle-in-cell technique. Convergence of the resulting approximate solutions to the exact solution is proven and error bounds are provided.
Keywords
Cite
@article{arxiv.math/0209336,
title = {Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system},
author = {Gerhard Rein and Thomas Rodewis},
journal= {arXiv preprint arXiv:math/0209336},
year = {2025}
}
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38 pages