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Phenomenology in type-I minimally modified gravity · Around

2018

Phenomenology in type-I minimally modified gravity

Aoki, Katsuki, De Felice, Antonio, Lin, Chunshan et al.

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We study cosmology in a class of minimally modified gravity (MMG) with two local gravitational degrees of freedom.

We classify modified gravity theories into type-I and type-II: theories of type-I have an Einstein frame and can be recast by change of variables as general relativity (GR) with a non-minimal matter coupling, while theories of type-II have no Einstein frame.
Considering a canonical transformation of the lapse, the 3-dimensional induced metric and their conjugate momenta we generate type-I MMG.
We then show that phenomenological deviations from GR, such as the speed of gravitational waves $c_T$ and the effective gravitational constant for scalar perturbations $G_{\rm eff}$, are characterized by two functions of an auxiliary variable.

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