标题： 带电黑洞在爱丁顿启发的玻尔兹曼-英菲尔德引力中的深入分析：时空几何结构的分析 显示英文标题

标题： Charged black holes in Eddington-inspired Born-Infeld gravity: An in-depth analysis of the structure of spacetime geometry

摘要： 在本文中，我们关注由爱丁顿启发的Born-Infeld（EiBI）引力描述的带电黑洞的时空行为。 通过静态和球对称度规，我们在Palatini形式下求解从EiBI-Maxwell作用量得到的场方程。 因此，我们首次对带电EiBI黑洞几个区域的时空几何结构进行了深入分析。 特别是，我们通过探测其渐近性质{\em 解析地}在黑洞时空的不同区域，如中心附近、中间区域和视界附近，研究度规系数和Kretschmann标量的解析行为，针对正负EiBI耦合情况。 这些分析提供了对EiBI-Maxwell黑洞时空本质的全面理解。 为了进一步帮助我们的理解，我们用不同参数值数值求解EiBI-Maxwell场方程。 我们发现解析行为与从EiBI-Maxwell场方程数值积分得到的行为之间有密切的一致性。 显示英文摘要

摘要： In this paper, we focus upon the behaviour of spacetime of charged black holes described by Eddington-inspired Born-Infeld (EiBI) gravity. With a static and spherically symmetric metric, we solve the ensuing field equations obtained from the EiBI-Maxwell action in the Palatini formalism. Consequently we carry out, for the first time, an in-depth analysis of the structure of spacetime geometry in several regions of the charged EiBI black hole. In particular, we consider the analytical behaviours of the metric coefficients and the Kretschmann scalar by probing their asymptotic nature {\em analytically} in different regions of the black hole spacetime, such as, near the center, in the intermediate region, and near the horizon, for both positive and negative EiBI coupling. These analyses give a thorough understanding of the nature of spacetime of EiBI-Maxwell black holes. In order to aide our understanding further, we solve the EiBI-Maxwell field equation numerically with different values of the parameters involved. We find close agreement between the analytical behaviours and those obtained from numerical integration of the EiBI-Maxwell field equation.