Loosely trapped surface and dynamically transversely trapping surface in Einstein–Maxwell systems
Loosely trapped surface and dynamically transversely trapping surface in Einstein–Maxwell systems
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DOI：
10.1093/ptep/ptaa133
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发表时间：
2020-07
影响因子：
3.5
通讯作者：
Kangjae Lee;T. Shiromizu;H. Yoshino;K. Izumi;Yoshimune Tomikawa
中科院分区：
文献类型：
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作者：
Kangjae Lee;T. Shiromizu;H. Yoshino;K. Izumi;Yoshimune Tomikawa
研究了爱因斯坦-麦克斯韦系统中的松散囚禁表面(LTS)和动态横向囚禁曲面(DTTS)的性质。这些表面的概念是由四位作者提出的，目的是为了刻画强重力区域。我们证明了LTSS/DTTS区域上的PenRose-like不等式。有趣的是，尽管天真地预计该区域的上限是具有相同质量和电荷的Reissner-Nordström黑洞的光子球的上限，但得到的不等式包括由电磁场的能量密度或压力/张力表示的修正。由于这一修正，LTSS领域的彭罗斯式不平等比天真预期的不平等要紧。我们还对Majudar-Papapetrou双黑洞时空中的修正项进行了数值计算。
We study the properties of the loosely trapped surface (LTS) and the dynamically transversely trapping surface (DTTS) in Einstein–Maxwell systems. These concepts of surfaces were proposed by four of the present authors in order to characterize strong gravity regions. We prove the Penrose-like inequalities for the area of LTSs/DTTSs. Interestingly, although the naively expected upper bound for the area is that of the photon sphere of a Reissner–Nordström black hole with the same mass and charge, the obtained inequalities include corrections represented by the energy density or pressure/tension of electromagnetic fields. Due to this correction, the Penrose-like inequality for the area of LTSs is tighter than the naively expected one. We also evaluate the correction term numerically in the Majumdar–Papapetrou two-black-hole spacetimes.