Eur. Phys. J. C (2008) 58: 347-353
https://doi.org/10.1140/epjc/s10052-008-0748-6

Regular Article - Theoretical Physics

Spherically symmetric non-commutative space: d=4

¹ Faculty of Physics, University of Belgrade, P.O. Box 368, 11001, Belgrade, Serbia
² Laboratoire de Physique Théorique, Université de Paris-Sud, Bâtiment 211, 91405, Orsay, France

^* e-mail: majab@phy.bg.ac.yu

Received: 7 July 2008
Revised: 29 August 2008
Published online: 2 October 2008

Abstract

In order to find a non-commutative analog of Schwarzschild or Schwarzschild–de Sitter black hole we investigate spherically symmetric spaces generated by four non-commutative coordinates in the frame formalism. We present two solutions which, however, do not possess the prescribed commutative limit. Our analysis indicates that the appropriate non-commutative space might be found as a subspace of a higher-dimensional space.