Scalar Field in Non-commutative Curved Space Time
Abstract
We study the issue of complex scalar field theories in noncommutative curved space time (NCCST) with a new star-product. In this paper, the equation of motion of scalar field and the canonical energy-momentum tensor of scalar field in static noncommutative curved space time (SNCCST) will be found. The most important point is the assumption of the noncommutative parameter (θ) be x-independent, the noncommutativity with time attended (TNC) and the metric tensor is time independent.
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