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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1412.4672gr-qchep-th
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轻Galileon的球对称解

Spherically symmetric solutions of light Galileon

D. Momeni, M. J. S. Houndjo, E. Güdekli, M. E. Rodrigues, F. G. Alvarenga, R. Myrzakulov

摘要:

本文研究了具有平移位移对称性$ϕ\to ϕ+c$的轻Galileon模型。物质拉格朗日量以$\mathcal{L}_ϕ= -η(\partial ϕ)^2+βG^{μν}\partial_μϕ\partial_νϕ$的形式表示。我们讨论了两个问题:第一,我们证明了这类伽利略子属于$f(R,R^{μν}T_{μν}^m)$型的修正的物质曲率引力模型。其次,我们研究了该模型中球对称几何的精确解。我们在零坐标下找到了在$r=0$处具有奇异性的精确解。我们已经证明,该解决方案也有一个非发散的电流向量范数。这个解可以看作是一个特殊的解决方案,已在文献中研究过,其中的伽利略场是非静态的(时间依赖)。我们的标量移位对称化的Galileon具有$ϕ=t$的简单形式,它被我们的Galileon场记住。

英文摘要:

We have been studied the model of light Galileon with translational shift symmetry $ϕ\to ϕ+c$. The matter Lagrangian is presented in the form $\mathcal{L}_ϕ= -η(\partial ϕ)^2+βG^{μν}\partial_μϕ\partial_νϕ$. We have been addressed two issues: the first is that, we have been proven that, this type of Galileons belong to the modified matter-curvature models of gravity in type of $f(R,R^{μν}T_{μν}^m)$. Secondly, we have been investigated exact solution for spherically symmetric geometries in this model. We have been found an exact solution with singularity at $r=0$ in null coordinates. We have been proven that the solution has also a non-divergence current vector norm. This solution can be considered as an special solution which has been investigated in literature before, in which the Galileon's field is non-static (time dependence). Our scalar-shift symmetrized Galileon has the simple form of $ϕ=t$, which it is remembered by us dilaton field.

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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