Noncommutative Geometries and Gravity

Abstract

We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.

18 pages, to appear in the Proceedings of the Third Mexican Meeting on Mathematical and Experimental Physics, Symposium on Gravitation and Cosmology, Mexico City, 10-14 September 2007

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Cited by in corpus (19)

• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity
• Noncommutative corrections to classical black holes
• Spherically Symmetric Noncommutative Space: d = 4
• Gauge theories on quantum spaces
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
• Quantum complex scalar fields and noncommutativity
• Field Theory on Curved Noncommutative Spacetimes
• Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• Canonical Noncommutativity Algebra for the Tetrad Field in General Relativity
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Projective module description of embedded noncommutative spaces
• Field Theory with Coordinate Dependent Noncommutativity
• A noncommutative geometric approach to the quantum structure of spacetime
• Causality in noncommutative spacetime
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces