标题： 标量化爱因斯坦-玻恩-因菲尔德-标量黑洞 显示英文标题

标题： Scalarized Einstein-Born-Infeld-scalar Black Holes

摘要： 当Reissner-Nordström (RN) 黑洞在爱因斯坦-麦克斯韦-标量(EMS)模型中由于标量场和麦克斯韦场之间的非最小耦合而出现自发标量化现象时，最近发现了这一现象。 非线性电动力学，例如Born-Infeld (BI) 电动力学，在强场区域推广了麦克斯韦理论。 在本文中，我们研究了将BI场与标量场非最小耦合的爱因斯坦-Born-Infeld-标量(EBIS)模型中的自发标量化。 结果显示存在两种类型的标量化黑洞解，即标量化RN型和Schwarzschild型解。 尽管EBIS模型中标量化RN型解的行为与EMS模型中标量解的行为非常相似，但我们发现EBIS模型中标量化Schwarzschild型解与EMS模型中标量解之间存在显著差异。 特别是，标量化Schwarzchild型解的存在域包含一个由两个分支组成的区域。 较大视界面积的分支是一族不相连的标量化解，这些解并不从无标量黑洞分叉而来。 然而，较小视界面积的分支是否从无标量黑洞分叉则取决于参数。 此外，在某些参数区域内，这两个分支的标量化解都可能在熵上不如相应的无标量黑洞。 显示英文摘要

摘要： The phenomenon of spontaneous scalarization of Reissner-Nordstr\"{o}m (RN) black holes has recently been found in an Einstein-Maxwell-scalar (EMS) model due to a non-minimal coupling between the scalar and Maxwell fields. Non-linear electrodynamics, e.g., Born-Infeld (BI) electrodynamics, generalizes Maxwell's theory in the strong field regime. Non-minimally coupling the BI field to the scalar field, we study spontaneous scalarization of an Einstein-Born-Infeld-scalar (EBIS) model in this paper. It shows that there are two types of scalarized black hole solutions, i.e., scalarized RN-like and Schwarzschild-like solutions. Although the behavior of scalarized RN-like solutions in the EBIS model is quite similar to that of scalarize solutions in the EMS model, we find that there exist significant differences between scalarized Schwarzschild-like solutions in the EBIS model and scalarized solutions in the EMS model. In particular, the domain of existence of scalarized Schwarzschild-like solutions possesses a certain region, which is composed of two branches. The branch of larger horizon area is a family of disconnected scalarized solutions, which do not bifurcate from scalar-free black holes. However, the branch of smaller horizon area may or may not bifurcate from scalar-free black holes depending on the parameters. Additionally, these two branches of scalarized solutions can be both entropically disfavored over comparable scalar-free black holes in some parameter region.