Composition independence of the possible finite-range gravitational force

Physics

Scientific paper

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Gravitation Theory, Gravitational Fields, Prediction Analysis Techniques, Scalars, Tensor Analysis, Field Theory (Physics), Gauge Invariance, Kinetic Energy, Momentum Theory

Scientific paper

The question of the composition independence of the finite-range gravitational force predicted by a scalar-tensor gravitational theory incorporating spontaneously broken scale invariance is considered. The total, scale-invariant Lagrangian of the gravitational theory is transformed by the technique of conformal rescaling. The sources of the scalar fields are analyzed and used to obtain a proportionality condition between the source of one of the scalar fields and the trace of the total effective matter energy-momentum tensor under which composition independence of the gravitational force will hold for rigid and static macroscopic objects. The required proportionality is demonstrated for an example of the interacting matter system of a Dirac field and a scalar field.

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