WKB Approximation in Noncommutative Gravity

Abstract

We consider the quasi-commutative approximation to a noncommutative geometry defined as a generalization of the moving frame formalism. The relation which exists between noncommutativity and geometry is used to study the properties of the high-frequency waves on the flat background.

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (3)

• A Gravity Theory on Noncommutative Spaces
• Noncommutative Self-dual Gravity
• A Dynamical 2-dimensional Fuzzy Space

Cited by in corpus (10)

• Fermions and Emergent Noncommutative Gravity
• Four-dimensional Gravity on a Covariant Noncommutative Space
• Emergent Geometry from Quantized Spacetime
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces
• Intertwining noncommutativity with gravity and particle physics
• Noncommutative Gauge Theories and Gravity
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness
• Non-commutativity in Unified Theories and Gravity
• Gauge Theories on Fuzzy Spaces and Gravity