Teleparallel Complex Gravity as Foundation for Noncommutative Gravity

Abstract

We present a teleparallel complex gravity as the foundation for the formulation of noncommutative gravity theory. The negative energy ghosts in the conventional formulation with U(1,3) local Lorentz connection no longer exists, since the local Lorentz invariance is broken down to U(1,3) global Lorentz symmetry. As desired, our teleparallel complex gravity theory also passes the key classical test of perihelion advance of Mercury. Based on this result, we present a lagrangian for the noncommutative teleparallel gravity theory.

15 pages, latex. a new section 4 for classical test of perihelion advance is added, with other relatively minor rhetorical changes

References in corpus (3)

• Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Teleparallel Superspace in Eleven Dimensions Coupled to Supermembranes

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