论文标题
Schwarzschild广告黑洞的霍金 - 页面过渡，有效的Tolman温度
Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature
论文作者
论文摘要
一个足够大的Schwarzschild Ads黑洞的鹰孔具有正热容量，并且经历了霍金页页相变。即使引入了腔的任意等温表面，但Schwarzschild Ads Black Hole的稳定性和相变的基本特征仍然相同。在本文中，我们研究了Schwarzschild Ads Black Hole的稳定性和霍金页相变，它采用替代的局部温度满足了Hartle-Hawking真空状态，该温度表明，在地平线上的go胶和外向磁通消失了，从而使局部温度自然为零。基于应力张量方法的局部温度的不同定义提供了不同类型的稳定性和相变。对于临界曲率半径以下的AD曲率半径，中型黑洞是稳定的，而其他大小的黑洞则是不稳定的，无论ADS曲率半径如何。此外，我们遇到了各种临界温度。第一个是用于中型黑洞和热广告之间的霍金 - 页面过渡，第二个是用于大型黑洞和热广告之间的相变。但是，后者并不是必需的，因为大型黑洞和热广告最终崩溃到了中型黑洞中。有趣的是，我们发现与中型黑洞和热广告之间的零阶相变相关的额外临界温度。因此，中型黑洞同时经历鹰相变和零阶相变。
A sufficiently large Schwarzschild AdS black hole with the Hawking temperature has a positive heat capacity and undergoes the Hawking-Page phase transition. Even though an arbitrary isothermal surface of a cavity is introduced, the essential features about the stability and phase transition of the Schwarzschild AdS black hole remain the same. In this paper, we study the stability and the Hawking-Page phase transition of the Schwarzschild AdS black hole by employing an alternative local temperature satisfying the Hartle-Hawking vacuum condition which states that the ingoing and outgoing fluxes vanish at the horizon so that the local temperature is naturally zero there. The different definition of the local temperature based on the stress tensor approach provides different types of stability and phase transition. For a AdS curvature radius below a critical one, the medium-sized black hole is found to be stable and the other small and large black holes turn out to be unstable regardless of the AdS curvature radius. Furthermore, we encounter various critical temperatures. The first one is for the Hawking-Page phase transition between the medium-sized black hole and thermal AdS, and the second one is for a phase transition between the large black hole and thermal AdS; however, the latter one is not essential because the large black hole and thermal AdS eventually collapse to the medium-sized black hole. Interestingly, we find an additional critical temperature related to the zeroth-order phase transition between the medium-sized black hole and thermal AdS. Consequently, the medium-sized black hole undergoes both the Hawking-Page phase transition and the zeroth-order phase transition.
