AI 中文总结
研究弦云存在时渐近反德西特平面时空中孤子-黑洞相变，通过比较欧几里得运动学作用获取自由能差，发现弦云参数显著改变黑 洞相和孤子相竞争及相结构。
AI 中文摘要
我们研究了由弦云产生的渐近反德西特平面时空中的孤子-黑洞相变。在平面背景下，弦云呈现出刷子状构型，弦相互平行排列并沿径向延伸。这导致应力张量仅在时间和径向方向上具有非零分量。通过比较相同边界条件下平面黑洞和相应反德西特孤子的欧几里得运动学作用，我们得到了两相之间的自由能差。结果表明，弦云参数显著改变了黑洞相和孤子相之间的竞争。特别是，弦云参数的正负值以不同方式影响相结构，改变了黑洞和孤子构型之间的主导关系。
英文摘要
We study soliton-black hole phase transitions in asymptotically AdS planar spacetimes sourced by a cloud of strings. In the planar background, the string cloud exhibits a brush-like configuration, where the strings are aligned parallel to each other and extend along the radial direction. This leads to a stress tensor with nonvanishing components only along the temporal and radial directions. By comparing the Euclidean on-shell actions of the planar black hole and the corresponding AdS soliton under the same boundary conditions, we obtain the free energy difference between the two phases. Our results show that the string cloud parameter significantly modifies the competition between the black hole phase and the soliton phase. In particular, positive and negative values of the string cloud parameter affect the phase structure in different ways, changing the dominance relation between the black hole and soliton configurations.
