Stringy (Galilei) Newton-Hooke Chern-Simons gravities
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Publication:2332179
DOI10.1007/JHEP09(2019)015zbMATH Open1423.83046arXiv1905.13091WikidataQ127282724 ScholiaQ127282724MaRDI QIDQ2332179
Author name not available (Why is that?)
Publication date: 1 November 2019
Published in: (Search for Journal in Brave)
Abstract: We construct Chern-Simons gravities in -dimensional space-time considering the Stringy Galilei algebra both with and without non-central extensions. In the first case, there is an invariant and non-degenerate bilinear form, however, the field equations do not allow to express the spin connections in terms of the dreibeins. In the second case, there is no invariant non-degenerate bilinear form. Therefore, in both cases, we do not have an ordinary gravity theory. Instead, if we consider the stringy Newton-Hooke algebra with extensions as gauge group we have an invariant non-degenerate metric and from the field equations, we express the spin connections in terms of the geometric fields.
Full work available at URL: https://arxiv.org/abs/1905.13091
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