Bi-Connected Gauss-Bonnet Gravity
arXiv:1405.2504 · doi:10.1007/s10714-015-1885-5
Abstract
We consider a bi-connection model in the presence of four-dimensional Gauss-Bonnet term adding to the Einstein-Hilbert action. This generalization solves the dynamics issue which exists in pure Einstein-Hilbert formalism of bi-connection model. As an example we study the Weyl inspired bi-connection model and show there is a self-accelerating solution in this model. To compare it with previous results we try to find appropriate generalization of the Weyl geometrical bi-connection model to reach at de Rham-Gabadadze-Tolley massive gravity. In this formalism mixing terms between the potential and kinetic terms appear automatically.
5 pages. A companion to 1309.2291
References in corpus (5)
- Resummation of Massive Gravity
- Massive gravity: nonlinear instability of the homogeneous and isotropic universe
- Palatini versus metric formulation in higher curvature gravity
- On new variational principles as alternatives to the Palatini method
- Spontaneous "Scalar-Vector Galileons" from "Weyl bi-Connection" model