论文标题

立方Lovelock重力的较低维度

Lower-dimensional Limits of Cubic Lovelock Gravity

论文作者

Alkac, Gokhan, Ozen, Gokcen Deniz, Suer, Gun

论文摘要

在本文中,我们通过正规化的kaluza-klein降低获得了较低的限制$(p = 2,3,4,5,6)$的立方体Lovelock重力。通过占据平坦的内部空间以简化,我们还研究了由此产生的理论中的静态黑洞解决方案。我们表明,该解决方案与从$ d $二维方程获得的解决方案相匹配,该方程是通过首先将相关耦合缩放为$ \ frac {1} {d-p-p} $获得的,然后将限制$ d \ to p $与一个重要的laneform:在4d lancy inthers上获得一个limition limim $ d \ five laster:One One One One Insives insive nivers ins ins One noriages insive。

In this paper, we obtain the lower-dimensional limits $(p=2,3,4,5,6)$ of cubic Lovelock gravity through a regularized Kaluza-Klein reduction. By taking a flat internal space for simplicity, we also study the static black hole solutions in the resulting theories. We show that the solutions match with the ones obtained from the "naive limit" of $D$-dimensional equation for the metric function, which is obtained by first scaling the relevant couplings by a factor of $\frac{1}{D-p}$ and then taking the limit $D\to p$, with one important exception: In 4D, one obtains the expected solution only for the black hole with a planar horizon.

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