# Noncommutative Einstein-AdS gravity in three dimensions

@article{Cacciatori2002NoncommutativeEG, title={Noncommutative Einstein-AdS gravity in three dimensions}, author={Sergio Luigi Cacciatori and Dietmar Klemm and Luca Martucci and Daniela Zanon}, journal={Physics Letters B}, year={2002}, volume={536}, pages={101-106} }

## 41 Citations

### Noncommutative deformation of four-dimensional Einstein gravity

- Physics
- 2002

We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein–Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with…

### Noncommutative gravity in two dimensions

- Mathematics
- 2002

We deform a two-dimensional topological gravity making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that…

### Noncommutative gravity in two dimensions

- Mathematics
- 2002

We deform a two-dimensional topological gravity making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that…

### Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces

- PhysicsProceedings of Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2017)
- 2018

We plan to translate the successful description of three-dimensional gravity as a gauge theory in the noncommutative framework, making use of the covariant coordinates. We consider two specific…

### Noncommutative AdS3 with quantized cosmological constant

- Mathematics, Physics
- 2006

We examine a recent deformation of three-dimensional anti-de Sitter gravity based on noncommutative Chern–Simons theory with gauge group U(1, 1) × U(1, 1). In addition to a noncommutative analogue of…

### Noncommutative Gauge Theory and Gravity in Three Dimensions

- MathematicsFortschritte der Physik
- 2018

The Einstein‐Hilbert action in three dimensions and the transformation rules for the dreibein and spin connection can be naturally described in terms of gauge theory. In this spirit, we use covariant…

### Charged rotating BTZ black holes in noncommutative spaces and torsion gravity.

- Physics
- 2017

We consider charged rotating BTZ black holes in noncommutative space by use of Chern-Simons theory formulation of $2+1$ dimensional gravity. The noncommutativity between the radial and the angular…

### Three dimensional gravity and Quantum Hall Effect

- Physics
- 2009

Recently three dimensional Einstein gravity with AdS geometry has been studied, and pointed out to be described with Chern-Simons theory by Grumiller and Jackiw. While, non-commutative Chern-Simons…

### Noncommutative gravity

- Mathematics
- 2006

We consider simple extensions of noncommutativity from flat to curved spacetime. One possibility is to have a generalization of the Moyal product with a covariantly constant noncommutative tensor…

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