SO(2; 3) NONCOMMUTATIVE GRAVITY MODEL
DOI Number
-
First page
111
Last page
116
Abstract
In this paper the noncommutative gravity is treated as a gauge theory of
the noncommutative SO(2; 3)* group, while the noncommutativity is canonical. The Seiberg-Witten (SW) map is used to express noncommutative elds in terms of the corresponding commutative elds. The commutative limit of the model is the Einstein-Hilbert action plus the cosmological term and the topological Gauss-Bonnet term. We calculate the second order correction to this model and obtain terms that are zeroth, rst, . . . and fourth power of the curvature tensor. Finally, we discuss physical conse-quences of those correction terms in the limit of big cosmological constant.
the noncommutative SO(2; 3)* group, while the noncommutativity is canonical. The Seiberg-Witten (SW) map is used to express noncommutative elds in terms of the corresponding commutative elds. The commutative limit of the model is the Einstein-Hilbert action plus the cosmological term and the topological Gauss-Bonnet term. We calculate the second order correction to this model and obtain terms that are zeroth, rst, . . . and fourth power of the curvature tensor. Finally, we discuss physical conse-quences of those correction terms in the limit of big cosmological constant.
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