On Poisson Structure and Curvature
arXiv:gr-qc/9705083 · doi:10.1016/S0034-4877(99)80030-5
Abstract
We consider a curved space-time whose algebra of functions is the commutative limit of a noncommutative algebra and which has therefore an induced Poisson structure. In a simple example we determine a relation between this structure and the Riemann tensor.
8 pages, Latex
References in corpus (2)
Cited by in corpus (12)
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- The Energy-momentum of a Poisson structure
- Noncommutative Geometry for Pedestrians
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- Closedness of orbits in a space with SU(2) Poisson structure
- Particle Dynamics And Emergent Gravity
- Central force problem in space with SU(2) Poisson structure
- Eigenvalue problem for radial potentials in space with SU(2) fuzziness
- Planar field theories with space-dependent noncommutativity
- On the Wheeler-DeWitt equation for Kasner-like Cosmologies
- Dimensional Reduction of Supersymmetric Gauge Theories