On the local properties of the 'Metric Tensor' GMU nu of the unified matrix theory of gravitation, electromagnetism and the Yang-Mills field

Physics

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Electromagnetic Fields, Field Theory (Physics), Gravitation Theory, Gravitational Fields, Matrix Theory, Maxwell Equation, Relativity

Scientific paper

The vierbeins and the generalized gamma-matrices associated to a modification and extension of Einstein's nonsymmetric field theory which includes the gravitational, electromagnetic and Yang-Mills fields are determined. The vierbein associated to the exact spherically symmetric solution of the unified field equations without Yang-Mills field is determined. Some algebraic properties of the unified matrix tensor Gmu nu are discussed. A generalization of this formalism involving octonions is proposed.

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