论文标题

在较高的尺寸自相似轴轴 - 二元解决方案上

On Higher Dimensional Self-Similar Axion-Dilaton Solutions

论文作者

Hatefi, Ehsan, Vanzan, Eleonora

论文摘要

我们表明,爱因斯坦轴 - 迪拉顿系统中自相似重力崩溃的溶液存在于较高的空间中。这些溶液在时空扩张和内部SL(2,r)转换结合下是不变的。我们依靠最近的设置,并将其用于更高维度的三种不同的共轭类(椭圆,抛物线和双曲线)。最后,我们确定了在六个和七个维度的所有三个共轭类别中,都确定了可分辨自我类似解决方案的新家庭。

We show that solutions of the self-similar gravitational collapse in the Einstein-axion-dilaton system exist in higher dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2,R) transformations. We rely on the recent setup and use it for the three different conjugacy classes (elliptic, parabolic and hyperbolic) in higher dimensions. Lastly, we identify new families of physically distinguishable self-similar solutions for all three conjugacy classes in six and seven dimensions.

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