A Matrix Formulation of Einstein's Vacuum Field Equations
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We develop a correspondence between arbitrary tensors and matrices based on the use of Kronecker products and associated identities. Utilizing the rules of matrix differentiation we derive the vacuum Einstein field equations as a differential-matrix equation. This formulation may facilitate their efficient use in numerical relativistic models.
Keywords
Cite
@article{arxiv.gr-qc/9812095,
title = {A Matrix Formulation of Einstein's Vacuum Field Equations},
author = {Walter J. Wild},
journal= {arXiv preprint arXiv:gr-qc/9812095},
year = {2007}
}
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8 pages