Gravity and the structure of noncommutative algebras

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Published 28 April 2006 • Published under licence by IOP Publishing Ltd
, , Citation Maja Burić et al JHEP04(2006)054 DOI 10.1088/1126-6708/2006/04/054

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1 Faculty of Physics P.O. Box 368, 11001 Belgrade

2 Laboratoire de Physique, Théorique, Université de Paris-Sud, Bâtiment 211, F-91405 Orsay

3 Physics Department, National Technical University, Zografou Campus, GR-157 80 Zografou, Athens

Dates

  1. Received 20 March 2006
  2. Accepted 10 April 2006
  3. Published

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1126-6708/2006/04/054

Abstract

A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation of the commutation relations which define the algebra there corresponds a linear perturbation of the gravitational field. This is shown to be true in the case of a perturbation of Minkowski space-time.

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10.1088/1126-6708/2006/04/054