Deformed general relativity and torsion
Abstract
We argue that the natural framework for embedding the ideas of deformed, or doubly, special relativity (DSR) into a curved spacetime is a generalization of EinsteinCartan theory, considered by Stelle and West. Instead of interpreting the noncommuting 'spacetime coordinates' of the Snyder algebra as endowing spacetime with a fundamentally noncommutative structure, we are led to consider a connection with torsion in this framework. This may lead to the usual ambiguities in minimal coupling. We note that observable violations of charge conservation induced by torsion should happen on a timescale of 10^{3} s, which seems to rule out these modifications as a serious theory. Our considerations show, however, that the noncommutativity of translations in the Snyder algebra need not correspond to noncommutative spacetime in the usual sense.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 July 2009
 DOI:
 10.1088/02649381/26/13/135005
 arXiv:
 arXiv:0902.2001
 Bibcode:
 2009CQGra..26m5005G
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 20 pages, 1 figure, revtex