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arXiv · 1006.0046

Some Aspects on Non-commutative Theories with a compactified Extra-Dimension

M. Dias
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Abstract

We study some aspects when one consider the existence of one extra-dimension in addition to a non-commutative space-time. We present here two different examples, where the first one provides a scenario were it is possible to relate the variations on the compactification radius $L$ and the non-commutative parameter $\theta^{\mu\nu}$, recovering the usual Minkowski $(3+1)D$ metric and, in the other one, we can set a simple relationship between this radius and $\theta$, the non-commutative parameter, for the gravitational potential between a point particle and a straight cosmic string in $(2+1)D$.

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M. Dias. 2010-06-01. Some Aspects on Non-commutative Theories with a compactified Extra-Dimension. https://arxiv.org/abs/1006.0046

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