On noncommutative spherically symmetric spaces

Abstract

Two families of noncommutative extensions are given of a general space-time metric with spherical symmetry, both based on the matrix truncation of the functions on the sphere of symmetry. The first family uses the truncation to foliate space as an infinite set of spheres, is of dimension four and necessarily time-dependent; the second can be time-dependent or static, is of dimension five and uses the truncation to foliate the internal space.

22 pages

References in corpus (2)

• Gravity and the Structure of Noncommutative Algebras
• Spherically Symmetric Noncommutative Space: d = 4

Cited by in corpus (8)

• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• Hydrogen atom in rotationally invariant noncommutative space
• Noncommutative SO(2,3) gauge theory and noncommutative gravity
• Noncommutative gravity and the relevance of the $\theta$-constant deformation
• Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric
• Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity
• Noncommutative $D=5$ Chern-Simons Gravity: Kaluza-Klein Reduction and Chiral Gravitational Anomaly