Classification of scalar fields in general relativity.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

Canonical forms for the energy-momentum tensor of the scalar field in the framework of general relativity are derived and algebraically classified. Four different types arise depending on the vectorial character of the gradient of the scalar field. For each canonical form a solution of the Einstein-massless scalar field equations is presented. There emerges from our investigation alternative physical interpretation for two known space-times.

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