# INFLUENCE OF GRAVITY ON NONCOMMUTATIVE DIRAC EQUATION

@article{Bourouaine2005INFLUENCEOG,
title={INFLUENCE OF GRAVITY ON NONCOMMUTATIVE DIRAC EQUATION},
author={Sofiane Bourouaine and Achour Benslama},
journal={Modern Physics Letters A},
year={2005},
volume={20},
pages={1997-2005}
}
• Published 6 July 2005
• Physics
• Modern Physics Letters A
In this paper, we investigate the influence of gravity and noncommutativity on Dirac particles. By adopting the tetrad formalism, we show that the modified Dirac equation keeps the same form. The only modification is in the expression of the covariant derivative. The new form of this derivative is the product of its counterpart given in curved spacetime with an operator which depends on the noncommutative θ-parameter. As an application, we have computed the density number of the created…
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