The bimetric variational principle for General Relativity

Details The bimetric variational principle for General Relativity The bimetric variational principle for General Relativity

2012-01-19

arxiv.org/abs/1201.4018v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures

Scientific paper

The bimetric variational principle is a subtle reinterpretation of general relativity that assumes the spacetime connection to be generated by an independent metric. Unlike in the so called Palatini formalism that promotes the connection into a fundamental field, the new variational principle results in a physically distinct theory since the potential for the connection carries new degrees of freedom. It is shown here that the theory is viable up to first order since, surprisingly, the quadratic action for the perturbations in both metrics have the Einstein-Hilbert form. Matter is coupled to the physical graviton. However, spinning matter interacts also with the connection-generating metric that naturally allows also an antisymmetric component. This sets torsion propagating.

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