A note on a theory of gravity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Field Theory (Physics), Gravitation Theory, Cosmology, Gravitational Fields, Metric Space, Newton Theory, Scalars

Scientific paper

It is argued that a theory of gravity developed by Rastall (1976) in which the metric depends on a scalar function and a vector field is not in agreement with experiment since a term that produces a significant perturbation of planetary orbits was wrongly neglected. It is shown that by choosing the Lagrangian density to be of simple form, a theory of gravity can be found which is in agreement with all present-day observations. A full investigation of such a theory requires a generalization of the post-Newtonian theory. The construction of the most general, Poincare-invariant, post-Newtonian (i.e., sixth-order) Lagrangian density is considered.

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