Die u:cris Detailansicht:
On Poisson geometries related to noncommutative emergent gravity
- Autor(en)
- Nikolaj Kuntner, Harold Steinacker
- Abstrakt
We study metric-compatible Poisson structures in the semi-classical limit of noncommutative emergent gravity. Space-time is realized as quantized symplectic submanifold embedded in R-D, whose effective metric depends on the embedding as well as on the Poisson structure. We study solutions of the equations of motion for the Poisson structure, focusing on a natural class of solutions such that the effective metric coincides with the embedding metric. This leads to i-(anti-) self-dual complexified Poisson structures in four space-time dimensions with Lorentzian signature. Solutions on manifolds with conformally flat metric are obtained and tools are developed which allow to systematically re-derive previous results, e.g. for the Schwarzschild metric. It turns out that the effective gauge coupling is related to the symplectic volume density, and may vary significantly over space-time. To avoid this problem, we consider in a second part space-time manifolds with compactified extra dimensions and split noncommutativity, where solutions with constant gauge coupling are obtained for several physically relevant geometries.
- Organisation(en)
- Mathematische Physik
- Externe Organisation(en)
- Universität Wien
- Journal
- Journal of Geometry and Physics
- Band
- 62
- Seiten
- 1760-1777
- Anzahl der Seiten
- 18
- ISSN
- 0393-0440
- DOI
- https://doi.org/10.1016/j.geomphys.2012.04.002
- Publikationsdatum
- 2012
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103012 Hochenergiephysik, 103019 Mathematische Physik
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/c570be01-7ecd-49a7-b3e8-76e31f07e517