Influence of Gravity on noncommutative Dirac equation
arXiv:hep-th/0507060 · doi:10.1142/S0217732305016798
Abstract
In this paper, we investigate the influence of gravity and noncommutativity on Dirac equation. 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 space-time with an operator which depends on the noncommutative -parameter. As an application, we have computed the density number of the created particles in presence of constant strong electric field in an anisotropic Bianchi universe.
arXiv comment9 pages, correct some miprints, Accepted for publication in journal of Mod. Phys. Letters A
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