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Teleparallel Complex Gravity as Foundation for Noncommutative Gravity

Hitoshi Nishino·Subhash Rajpoot
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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.

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Hitoshi Nishino, Subhash Rajpoot. 2002-02-07. Teleparallel Complex Gravity as Foundation for Noncommutative Gravity. https://doi.org/10.1016/s0370-2693(02)01533-2

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