{ "id": "1909.13414", "version": "v1", "published": "2019-09-30T01:15:24.000Z", "updated": "2019-09-30T01:15:24.000Z", "title": "Numerical simulation of magnetic reconnection around a black hole", "authors": [ "Mika Inda-Koide", "Shinji Koide", "Ryogo Morino" ], "comment": "22 pages, 9 Figures", "journal": "The Astrophysical Journal 883, id 69, 9 pp. (2019)", "categories": [ "astro-ph.HE" ], "abstract": "We performed numerical simulations of general relativistic magnetohydrodynamics with uniform resistivity to investigatethe occurrence of magnetic reconnection in a split-monopole magnetic field around a Schwarzschild black hole. We found that magnetic reconnection happens near the black hole at its equatorial plane. The magnetic reconnection has a point-like reconnection region and slow shock waves, as in the Petschek reconnection model. The magnetic reconnection rate decreases as the resistivity becomes smaller. When the global magnetic Reynolds number is $10^4$ or larger, the magnetic reconnection rate increases linearly with time from $2 \\tau_{\\rm S}$ to $\\sim 10 \\tau_{\\rm S}$ ($\\tau_{\\rm S}=r_{\\rm S}/c, r_{\\rm S}$ is the Schwarzschild radius and $c$ is the speed of light). The linear increase of the reconnection rate agrees with the magnetic reconnection in the Rutherford regime of the tearing mode instability.", "revisions": [ { "version": "v1", "updated": "2019-09-30T01:15:24.000Z" } ], "analyses": { "keywords": [ "numerical simulation", "global magnetic reynolds number", "magnetic reconnection rate decreases", "magnetic reconnection rate increases", "slow shock waves" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }