A Noncommutative Deformation of General Relativity
arXiv:hep-th/0310009 · doi:10.1016/j.physletb.2003.10.002
Abstract
We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also introduce a gauge symmetry associated with the new degrees of freedom.
7 pages, to be published in Phys. Lett. B
References in corpus (10)
- Loop Quantum Gravity
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Introduction to M(atrix) theory and noncommutative geometry
- Gravity in Non-Commutative Geometry
- An Invariant Action for Noncommutative Gravity in Four-Dimensions
- Loop quantum gravity and quanta of space: a primer
- Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators
- Matrix General Relativity: A New Look at Old Problems
- A Noncommutative Extension of Gravity
- Heat Kernel Asymptotics of Operators with Non-Laplace Principal Part
Cited by in corpus (10)
- Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators
- Matrix Gravity and Massive Colored Gravitons
- Noncommutative Einstein Equations
- Canonical Noncommutativity Algebra for the Tetrad Field in General Relativity
- Scattering in Noncommutative Quantum Mechanics
- Kinematics in Matrix Gravity
- Non-commutative Corrections in Spectral Matrix Gravity
- A Model for the Pioneer Anomaly
- MOND via Matrix Gravity
- Non-Perturbative Aspects of Quantum Electrodynamics on Curved Space and Investigations in Matrix Gravity