论文标题
kerr-de保姆时空中的固定真空气泡
Stationary Vacuum Bubble in a Kerr-de Sitter Spacetime
论文作者
论文摘要
我们研究具有角动量的黑洞（BH）时空中的假真空衰变。考虑到由kerr-de保姆几何形状描述的假真空区域，在薄壁近似下，我们可以获得从外部假真空区域看到的真空气泡的固定构型，而无需指定域壁内的几何形状。然后，假设由Kerr几何形状描述了真正的真空区域，我们可以通过施加第1个连接条件并保护角动量来固定Kerr几何形状的质量和自旋参数。尽管域壁内部的Kerr几何形状的假设不能完全与第二连接条件完全一致，但我们可以通过计算域壁上的棕色York准分位能量来大致评估与这种不一致相关的误差。然后，可以使用内部Kerr几何形状和棕色York准分位能量获得的参数来估计衰减速率。我们的结果支持以下陈述：BH旋转抑制了BH时空中的假真空衰减。
We study false vacuum decay in a black hole (BH) spacetime with an angular momentum. Considering the false vacuum region described by a Kerr-de Sitter geometry, under the thin wall approximation, we can obtain the stationary configuration of the vacuum bubble seen from the outside false vacuum region without specifying the geometry inside the domain wall. Then, assuming the true vacuum region is described by a Kerr geometry, we can fix the mass and the spin parameter for the Kerr geometry by imposing the 1st junction conditions and conservation of the angular momentum. Although the assumption of the Kerr geometry inside the domain wall cannot be fully consistent with the 2nd junction conditions, we can roughly evaluate the error associated with this inconsistency by calculating the Brown-York quasi-local energy on the domain wall. Then the decay rate can be estimated by using the obtained parameters for the inside Kerr geometry and the Brown-York quasi-local energy. Our results support the statement that the BH spin suppresses the false vacuum decay in a BH spacetime.
