arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1907.00799gr-qchep-th
收藏

巨正则包体中Born-Infeld黑洞的相结构和相变

Phase Structures and Transitions of Born-Infeld Black Holes in a Grand Canonical Ensemble

Kangkai Liang, Peng Wang, Houwen Wu, Mingtao Yang

摘要:

为了使Born-Infeld(BI)黑洞热稳定,我们考虑两种类型的边界条件,即,渐近anti-de Sitter(AdS)空间和渐近平坦空间中的Dirichlet壁。在巨正则系综中研究了这两种类型的BI黑洞,即BI AdS黑洞和腔中BI黑洞的相结构和相变.对于BI-AdS黑洞,全局稳定相可以是热AdS空间。对于较小的势能值,在BI-AdS黑洞和热AdS空间之间存在Hawking-Page一级相变。然而,当势的值足够大时,相变变为零级。对于腔中的BI黑洞,全局稳定相可以是裸奇点或视界与壁面合并的极值黑洞,它们都位于物理参数区域的边界上。热平坦空间从来不是全球首选。除了一级相变之外,在全局稳定相之间存在二级相变。由此可见,在这两种不同边界条件下,BI黑洞的相结构和相变有若干不同之处。

英文摘要:

To make a Born-Infeld (BI) black hole thermally stable, we consider two types of boundary conditions, i.e., the asymptotically anti-de Sitter (AdS) space and a Dirichlet wall placed in the asymptotically flat space. The phase structures and transitions of these two types of BI black holes, namely BI-AdS black holes and BI black holes in a cavity, are investigated in a grand canonical ensemble, where the temperature and the potential are fixed. For BI-AdS black holes, the globally stable phases can be the thermal AdS space. For small values of the potential, there is a Hawking-Page-like first order phase transition between the BI-AdS black holes and the thermal-AdS space. However, the phase transition becomes zeroth order when the values of the potential are large enough. For BI black holes in a cavity, the globally stable phases can be a naked singularity or an extremal black hole with the horizon merging with the wall, which both are on the boundaries of the physical parameter region. The thermal flat space is never globally preferred. Besides a first order phase transition, there is a second order phase transition between the globally stable phases. Thus, it shows that the phase structures and transitions of BI black holes with these two different boundary conditions have several dissimilarities.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑