标题： 反德西特黑洞中的真空衰变与气泡核形成 显示英文标题

标题： Vacuum decay and bubble nucleation in the anti-de Sitter black holes

摘要： 我们研究反德西特黑洞中的真空衰变和气泡成核。 在气泡成核时空中，气泡壁的内部和外部由两个具有不同宇宙常数的反德西特黑洞时空描述。 我们计算了气泡成核时空的欧几里得作用量，并给出了不同情况下的隧穿率数值结果。 结果表明，黑洞可以作为不均匀性的来源，并催化反德西特时空中的真空衰变和气泡成核。 对于RNAdS黑洞，向具有最小临界质量的最终RNAdS黑洞的隧穿率在所有可能的隧穿通道中最高。 显示英文摘要

摘要： We study the vacuum decay and the bubble nucleation in the anti-de Sitter black holes. In the bubble nucleation spacetime, the interior and the exterior of the bubble wall are described by two anti-de Sitter black hole spacetimes with different cosmological constants. We calculate the Euclidean action of the bubble nucleation spacetime and give the numerical results of the tunneling rates for different cases. It is shown that the black hole can act as a source of inhomogeneities and catalyze the vacuum decay and the bubble nucleation in the anti-de Sitter spacetime. For the RNAdS black holes, the tunneling rate to the final RNAdS black hole with the minimum critical mass is the highest among all the possible tunneling channels.