Gravitational fields on a noncommutative space

2001/12/31 by V. P. Nair · 3 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Gravitational field #Linguistics #Mathematical physics #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Philosophy #Physics #Quantum differential calculus #Quantum mechanics #Space (punctuation) #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(02)01061-1

published as Nucl.Phys. B651 (2003) 313-327 · LaTeX, 16 pages, section 2 rewritten for clarity

arxiv created 2002/03/29 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Noncommutative three-dimensional gravity can be described in terms of a noncommutative Chern-Simons theory. We extend this structure and also propose an action for gravitational fields on an even dimensional noncommutative space. The action is worked out in some detail for fields on a noncommutative \bf CP² and on S⁴.

Citations

• A large-N reduced model as superstring
• Riemannian Geometry on Quantum Spaces
• Mtheory as a matrix model: A conjecture
• The Spectral Action Principle

Cited by

• Noncommutative self-dual gravity
• An invariant action for noncommutative gravity in four dimensions
• Symmetry, gravity and noncommutativity