Loosely trapped surface and dynamically transversely trapping surface in Einstein-Maxwell system
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.
Cite
@article{arxiv.2007.03139,
title = {Loosely trapped surface and dynamically transversely trapping surface in Einstein-Maxwell system},
author = {Kangjae Lee and Tetsuya Shiromizu and Hirotaka Yoshino and Keisuke Izumi and Yoshimune Tomikawa},
journal= {arXiv preprint arXiv:2007.03139},
year = {2020}
}
Comments
15 pages, 4 figures