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
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2014