Electrodynamics in Non-commutative Curved Space Time

TL;DR

This paper develops electrodynamics theory within noncommutative curved spacetime using a new star-product, deriving motion equations and energy-momentum tensors under the assumption of a position-independent noncommutative parameter.

Contribution

It introduces a novel approach to electrodynamics in noncommutative curved spacetime with a new star-product and derives fundamental equations assuming a constant noncommutative parameter.

Findings

Derived motion equations for electrodynamics in NCCST

Formulated the canonical energy-momentum tensor in NCCST

Assumed noncommutative parameter independence from spacetime coordinates

Abstract

We study the issue of the electrodynamics theory in noncommutative curved space time (NCCST) with a new star-product. In this paper, the motion equation of electrodynamics and canonical energy-momentum tensor in noncommutative curved space time will be found. The most important point is the assumption of the noncommutative parameter ($\theta$) be $x^{\m}$-independent.