A Matrix Formulation of Einstein's Vacuum Field Equations

Details A Matrix Formulation of Einstein's Vacuum Field Equations A Matrix Formulation of Einstein's Vacuum Field Equations

1998-12-31

arxiv.org/abs/gr-qc/9812095v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

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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