非局域无鬼引力中的超相对论自旋天体
Ultrarelativistic spinning objects in non-local ghost-free gravity
摘要：
本文在修正的高阶导数引力理论中研究了超相对论自旋物体（回转子）的引力场。特别是，我们专注于一类特殊的理论与无限数量的衍生物被称为“鬼自由重力”，包括一个非本地的形状因子，如$\exp(-\Box\ell^2)$，其中$\ell$是非本地的规模。首先，我们得到的线性化的幽灵自由方程的固定旋转对象的解决方案。为了获得gyraton解决方案，我们提高这些指标，并采取他们的彭罗斯限制。这种方法允许我们对任意数量的时空维度进行计算。所有的解在回转轴上都是正则的。在四维空间中，当尺度非定域性$\ell$趋于零时，得到的回旋子解正确地再现了Aichelburg-Sexl度规及其推广到Bonnor早先发现的自旋源。我们还研究了所得到的四维和高维无鬼影回转子度规的性质，并简要讨论了它们可能的应用。
英文摘要：
We study the gravitational field of ultrarelativistic spinning objects (gyratons) in a modified gravity theory with higher derivatives. In particular, we focus on a special class of such theories with an infinite number of derivatives known as "ghost-free gravity" that include a non-local form factor such as $\exp(-\Box\ell^2)$, where $\ell$ is the scale of non-locality. First, we obtain solutions of the linearized ghost-free equations for stationary spinning objects. To obtain gyraton solutions we boost these metrics and take their Penrose limit. This approach allows us to perform calculations for any number of spacetime dimensions. All solutions are regular at the gyraton axis. In four dimensions, when the scale non-locality $\ell$ tends to zero, the obtained gyraton solutions correctly reproduce the Aichelburg--Sexl metric and its generalization to spinning sources found earlier by Bonnor. We also study the properties of the obtained four-dimensional and higher-dimensional ghost-free gyraton metrics and briefly discuss their possible applications.
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