Gravity from self-interaction in a curved background

Mathematics – Logic

Scientific paper

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Curvature, Einstein Equations, Gravitation Theory, Space-Time Functions, Yang-Mills Fields, Cosmology, Gravitons

Scientific paper

The full Einstein action is derived, by consistent self-coupling requirements, from the linear graviton action in an a priori arbitrary background geometry: flat space no longer plays a preferred initial role. This generalization also permits construction of the cosmological term. An analogous procedure yields the Yang-Mills action starting from a Maxwell multiplet in a background gauge field. The relevant gauge invariances are shown to be under transformations in which the background is inert.

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