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arXiv · 2007.03139

Loosely trapped surface and dynamically transversely trapping surface in Einstein-Maxwell system

Kangjae Lee·Tetsuya Shiromizu·Hirotaka Yoshino·Keisuke Izumi·Yoshimune Tomikawa
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Abstract

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 the 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-Nordstroem 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.

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Kangjae Lee, Tetsuya Shiromizu, Hirotaka Yoshino, Keisuke Izumi, Yoshimune Tomikawa. 2020-07-07. Loosely trapped surface and dynamically transversely trapping surface in Einstein-Maxwell system. https://arxiv.org/abs/2007.03139

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