## Abstract

A novel gravity theory based on Poisson Generalized Geometry is investigated. A gravity theory on a Poisson manifold equipped with a Riemannian metric is constructed from a contravariant version of the Levi-Civita connection, which is based on the Lie algebroid of a Poisson manifold. Then, we show that in Poisson Generalized Geometry the R-fluxes are consistently coupled with such a gravity. An R-flux appears as a torsion of the corresponding connection in a similar way as an H-flux which appears as a torsion of the connection formulated in the standard Generalized Geometry. We give an analogue of the Einstein-Hilbert action coupled with an R-flux, and show that it is invariant under both β-diffeomorphisms and β-gauge transformations. A novel gravity theory based on Poisson Generalized Geometry is investigated. To this end a gravity theory on a Poisson manifold equipped with a Riemannian metric is constructed from a contravariant version of the Levi-Civita connection, which is based on the Lie algebroid of a Poisson manifold. It is shown that in Poisson Generalized Geometry the R-fluxes are consistently coupled with such a gravity. An R-flux appears as a torsion of the corresponding connection in a similar way as an H-flux which appears as a torsion of the connection formulated in the standard Generalized Geometry. An analogue of the Einstein-Hilbert action coupled with an R-flux is given.It turns out to be invariant under both β-diffeomorphisms and β-gauge transformations.

Original language | English |
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Pages (from-to) | 683-704 |

Number of pages | 22 |

Journal | Fortschritte der Physik |

Volume | 63 |

Issue number | 11-12 |

DOIs | |

Publication status | Published - 2015 Nov |

## Keywords

- Gravity
- Non-geometries
- Poisson Geometry

## ASJC Scopus subject areas

- Physics and Astronomy(all)