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AT5 - Constructive gravity

Speaker

Wierzba, Alexander

Coauthors

Beier, Udo

Talk Title

Two surprisingly not-so-different employments of bimetric geometry

Abstract

The gravitational closure of given matter field dynamics provides diffeomorphism-invariant dynamics for the very background geometry that is ultralocally employed in the matter action. Conceptual and technical key to this construction is the principal polynomial of the initially given matter field equations, which crucially depends on how exactly the background geometry makes its appearance in the matter action. In this talk, we consider two very different matter theories that employ a background geometry consisting of two Lorentzian metrics in vastly different ways. Applying the gravitational closure mechanism we derive the remarkable result that they share the same underlying gravitational dynamics.

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