A Matrix Formulation of Einstein's Vacuum Field Equations

Walter J. Wild

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arXiv · gr-qc/9812095

A Matrix Formulation of Einstein's Vacuum Field Equations

Walter J. Wild

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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.

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Walter J. Wild. 1998-12-31. A Matrix Formulation of Einstein's Vacuum Field Equations. https://arxiv.org/abs/gr-qc/9812095

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