论文标题
抗De Sitter空间中的弦星
String Stars in Anti de Sitter Space
论文作者
论文摘要
我们在D+1维热广告空间的中间研究“弦星”马鞍,也称为Horowitz-Polchinski溶液。我们表明,有一个温度的状态,其中鞍座与霍洛维茨和波尔钦斯基发现的扁平空间解决方案非常相似。该鞍座在较低的温度下与小广告黑洞马鞍相连。我们还通过数字和分析研究,由于广告几何形状的高温而改变了解决方案。具体而言,我们描述了溶液如何与热气相结合,并找到由于ADS曲率而引起的Hagedorn温度的领先校正。最后,我们研究溶液的热力学不稳定性,并在ADS曲率尺度上存在额外的尺寸时,就会说明格雷戈里 - 拉富拉姆样不稳定。
We study the `string star' saddle, also known as the Horowitz-Polchinski solution, in the middle of d+1 dimensional thermal AdS space. We show that there's a regime of temperatures in which the saddle is very similar to the flat space solution found by Horowitz and Polchinski. This saddle is hypothetically connected at lower temperatures to the small AdS black hole saddle. We also study, numerically and analytically, how the solutions are changed due to the AdS geometry for higher temperatures. Specifically, we describe how the solution joins with the thermal gas phase, and find the leading correction to the Hagedorn temperature due to the AdS curvature. Finally, we study the thermodynamic instabilities of the solution and argue for a Gregory-Laflamme-like instability whenever extra dimensions are present at the AdS curvature scale.