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arXiv 2406.01665hep-thgr-qc
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电Carroll引力的类Cartan表述

Cartan-like formulation of electric Carrollian gravity

Simon Pekar, Alfredo Pérez, Patricio Salgado-Rebolledo

AI总结:

本文提出了电Carroll引力的类Cartan一阶作用量原理,证明其在局部齐次Carroll群下不变且可由Einstein-Cartan作用量的平滑极限导出,并讨论了其与Hamilton形式及度规形式的联系。

摘要:

我们提出了电Carroll引力的类Cartan一阶作用量原理。该作用量在局部齐次Carroll群下保持不变,尽管其表示与对Carroll代数进行规范变换所得的表示不同。此外,我们证明该一阶作用量可由Einstein-Cartan作用量的平滑Carroll极限导出。本文还讨论了它与电Carroll引力作用量的Hamilton形式和度规形式,以及与先前文献工作的联系。

英文摘要:

We present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different representation than the one obtained by gauging the Carroll algebra. Additionally, we show that this first-order action can be derived from a smooth Carrollian limit of the Einstein-Cartan action. The connection with the Hamiltonian and metric forms of the action for electric Carrollian gravity, as well as with previous works in the literature, is also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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