论文标题
Einstein-Gauss-Bonnet Black Strings的$α$
Einstein-Gauss-Bonnet black strings at large $α$
论文作者
论文摘要
高维一般相对论（GR）中最简单的黑色弦也许是Schwarzschild时空和平坦的空间方向的直接乘积。然而，众所周知，爱因斯坦 - 加斯 - 尼特理论不允许这样的微不足道和简单的解决方案。我们提出了一种新颖的分析技术，该技术假设高斯 - 邦纳特（GB）项在爱因斯坦 - 希尔伯特（EH）项上占主导地位。假设无量纲的耦合常数$α$由地平线标准范围足够大，我们发现时空分离为GB区域和GR区，该区域通过GB和EH项是可比的过渡区域匹配。使用这种大的$α$近似，我们确实构建了黑弦的新分析解决方案，从中我们可以分析地计算大$α$的各种物理量的黑弦。此外，我们确认所有这些分析结果与数值计算一致。我们还讨论了一般爱因斯坦 - 洛沃克黑洞的可能扩展。
The simplest black string in higher-dimensional general relativity (GR) is perhaps the direct product of a Schwarzschild spacetime and a flat spatial direction. However, it is known that the Einstein-Gauss-Bonnet theory does not allow such a trivial and simple solution. We propose a novel analytic technique, which assumes that the Gauss-Bonnet (GB) term becomes dominant over the Einstein-Hilbert (EH) term. Assuming the dimensionless coupling constant $α$ normalized by the horizon scale is large enough, we find that the spacetime is separated into the GB region and GR region, which are matched via the transition region where the GB and EH terms are comparable. Using this large $α$ approximation, we indeed construct new analytic solutions of black strings, from which we analytically compute various physical quantities of black strings at large $α$. Moreover, we confirm that all these analytic results are consistent with the numerical calculation. We also discuss the possible extension to general Einstein-Lovelock black holes.
