Three-dimensional Noncommutative Gravity

Abstract

We formulate noncommutative three-dimensional (3d) gravity by making use of its connection with 3d Chern-Simons theory. In the Euclidean sector, we consider the particular example of topology $T^2\times R$ and show that the 3d black hole solves the noncommutative equations. We then consider the black hole on a constant U(1) background and show that the black hole charges (mass and angular momentum) are modified by the presence of this background.

Latex, 18 pages. References added

References in corpus (4)

• On Level Quantization for the Noncommutative Chern-Simons Theory
• Chern-Simons Theories on Noncommutative Plane
• A Note on Noncommutative Chern-Simons Theories
• Noncommutative Chern-Simons Solitons

Cited by in corpus (39)

• Noncommutative Quantum Cosmology
• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Noncommutative Self-dual Gravity
• Noncommutative deformation of four dimensional Einstein gravity
• Noncommutative Gravity in two Dimensions
• Noncommutative BTZ Black Hole and Discrete Time
• Noncommutative Topological Theories of Gravity
• Noncommutative supergravity in D=3 and D=4
• Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity
• Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map
• Quantum noncommutative gravity in two dimensions
• Noncommutative Einstein-AdS Gravity in three Dimensions
• Noncommutative gravity: fuzzy sphere and others
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Gauge theories on quantum spaces
• Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology
• Noncommutative BTZ Black Hole in Polar Coordinates
• Noncommutative correction to the entropy of BTZ black hole with GUP
• Non Commutative Bianchi type II Quantum Cosmology
• Four-Dimensional Gravity on a Covariant Noncommutative Space (II)
• Noncommutative Gauge Theory and Gravity in Three Dimensions
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
• Noncommutative AdS Supergravity in three Dimensions
• Noncommutative $Ad{S}^3$ with Quantized Cosmological Constant
• Thermofield dynamics and Gravity
• WKB-type Approximation to Noncommutative Quantum Cosmology
• Charged rotating BTZ black holes in noncommutative spaces and torsion gravity
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Intertwining noncommutativity with gravity and particle physics
• Noncommutative Solitons of Gravity
• Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles
• Slow-rotating black holes with potential in dynamical Chern-Simons modified gravitational theory
• On Charge Conservation and The Equivalence Principle in the Noncommutative Spacetime
• Angles in Fuzzy Disc and Angular Noncommutative Solitons
• Matrix model for noncommutative gravity and gravitational instantons
• The fuzzy BTZ
• (2 + 1) noncommutative gravity and conical spacetimes
• Noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole
• Three dimensional gravity and Quantum Hall Effect