Influence of Gravity on noncommutative Dirac equation

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 $\theta$-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.

9 pages, correct some miprints, Accepted for publication in journal of Mod. Phys. Letters A

References in corpus (6)

• Review of the Phenomenology of Noncommutative Geometry
• Noncommutative Gauge Theory without Lorentz Violation
• Unitarity in space-time noncommutative field theories
• Phenomenology of Lorentz-Conserving Noncommutative QED
• Creation of scalar and Dirac particles in the presence of a time varying electric field in an anisotropic Bianchi I universe
• Creation of Dirac Particles in the Presence of a Constant Electric Field in an Anisotropic Bianchi I Universe

Cited by in corpus (2)

• Canonical Noncommutativity Algebra for the Tetrad Field in General Relativity
• MHD waves within Noncommutative Maxwell theory