Eur. Phys. J. C (2014) 74: 2820
https://doi.org/10.1140/epjc/s10052-014-2820-8

Regular Article - Theoretical Physics

On noncommutative spherically symmetric spaces

¹ Faculty of Physics, University of Belgrade, P.O. Box 44, 11001 , Belgrade, Serbia
² Laboratoire de Physique Théorique, Orsay, 91405, France

^* e-mail: majab@ipb.ac.rs

Received: 21 January 2014
Accepted: 10 March 2014
Published online: 27 March 2014

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, and it 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.