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Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors

Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors

来源:Arxiv_logoArxiv
英文摘要

The Einstein-Bianchi system uses symmetric and traceless tensors to reformulate Einstein's original field equations. However, preserving these algebraic constraints simultaneously remains a challenge for numerical methods. This paper proposes a new formulation that treats the linearized Einstein-Bianchi system (near the trivial Minkowski metric) as the Hodge wave equation associated with the conformal Hessian complex. To discretize this equation, a conforming finite element conformal Hessian complex that preserves symmetry and traceless-ness simultaneously is constructed on general three-dimensional tetrahedral grids, and its exactness is proven.

Yuyang Guo、Jun Hu、Ting Lin

物理学

Yuyang Guo,Jun Hu,Ting Lin.Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors[EB/OL].(2025-08-06)[2025-08-23].https://arxiv.org/abs/2508.04560.点此复制

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