Würzburg 2018 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 3: Alternative theories of gravity and general formalism

GR 3.6: Talk

Tuesday, March 20, 2018, 18:10–18:30, NW-Bau - HS3

Gravitational field equations following from a bi-metric matter theory — •Udo Beier — Friedrich-Alexander Universität Erlangen-Nürnberg, Erlangen, Deutschland

Given any quantizable matter action, it is possible to determine the gravitational Lagrangian for the underlying geometry. This procedure is called gravitational closure and is equivalent to solving a set of partial differential equations, the so-called gravitational closure equations.

I will present how one performs the procedure of gravitational closure for a simple bi-metric matter theory, namely two Klein-Gordon fields that couple to two separate metric fields.

Using the deceptively simple matter model as input, I will show how one practically solves the ensuing gravitational closure equations perturbatively. The resulting action and linearized gravitational field equations will then be interpreted and compared to previous proposals in the literature.