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arXiv 1604.06313hep-th
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广义伽利略代数与牛顿引力

Generalized Galilean Algebras and Newtonian Gravity

N. L. González Albornoz, G. Rubio, P. Salgado, S. Salgado

摘要:

得到了广义Poincaré代数和广义$AdS$ -Lorentz代数的非相对论形式.这种非相对论代数称为广义伽利略代数I型和II型,分别用$\mathcal{G}\mathfrak{B}_{n}$和$\mathcal{G}\mathfrak{L}_{_{n}}$表示。利用广义Inönü-Wigner压缩过程,我们发现广义Galilean代数I型可以由广义Galilean代数II型得到. $S$ -展开过程允许我们从具有中心扩张的Newton-Hooke代数中找到$\mathcal{G}\mathfrak{B}_{_{5}}$代数.在参考文献\cite{newton}中发展的程序使我们能够证明五维Einstein-Chern-Simons引力的非相对论性极限是由Poisson方程的一个修正形式给出的。这种修改可能与暗物质的影响相容,这使我们认为暗物质可以被解释为暗能量的非相对论极限。

英文摘要:

The non-relativistic versions of the generalized Poincaré algebras and generalized $AdS$-Lorentz algebras are obtained. This non-relativistic algebras are called, generalized Galilean algebras type I and type II and denoted by $\mathcal{G}\mathfrak{B}_{n}$ and $\mathcal{G}\mathfrak{L}_{_{n}}$ respectively. Using a generalized Inönü--Wigner contraction procedure we find that the generalized Galilean algebras type I can be obtained from the generalized Galilean algebras type II. The $S$-expansion procedure allows us to find the $\mathcal{G}\mathfrak{B}_{_{5}}$ algebra from the Newton--Hooke algebra with central extension. The procedure developed in Ref. \cite{newton} allow us to show that the non-relativistic limit of the five dimensional Einstein--Chern--Simons gravity is given by a modified version of the Poisson equation. The modification could be compatible with the effects of Dark Matter, which leads us to think that Dark Matter can be interpreted as a non-relativistic limit of Dark Energy.

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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