{
  "id": "1503.05248",
  "version": "v1",
  "published": "2015-03-17T23:54:47.000Z",
  "updated": "2015-03-17T23:54:47.000Z",
  "title": "Fourth-order split monopole perturbation solutions to the Blandford-Znajek mechanism",
  "authors": [
    "Zhen Pan",
    "Cong Yu"
  ],
  "comment": "1 fig; PRD in press",
  "categories": [
    "astro-ph.HE",
    "gr-qc"
  ],
  "abstract": "The Blandford-Znajek (BZ) mechanism describes a physical process for the energy extraction from a spinning black hole (BH), which is believed to power a great variety of astrophysical sources, such as active galactic nuclei (AGNs) and Gamma ray bursts (GRBs). The only known analytic solution to the BZ mechanism is a split monopole perturbation solution up to $O(a^2)$, where $a$ is the spin parameter of a Kerr black hole. In this paper, we extend the monopole solution to higher order $\\sim O(a^4)$. We carefully investigate the structure of the BH magnetosphere, including the angular velocity of magnetic field lines $\\Omega$, the toroidal magnetic field $B^\\phi$ as well as the poloidal electric current $I$. In addition, the relevant energy extraction rate $\\dot E$ and the stability of this high-order monopole perturbation solution are also examined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-17T23:54:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.70.-s",
      "95.30.Qd",
      "95.30.Sf"
    ],
    "keywords": [
      "fourth-order split monopole perturbation solutions",
      "blandford-znajek mechanism",
      "relevant energy extraction rate",
      "magnetic field",
      "black hole"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.91.064067",
      "journal": "Physical Review D",
      "year": 2015,
      "month": "Mar",
      "volume": 91,
      "number": 6,
      "pages": "064067"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvD..91f4067P",
      "inspire": 1353359
    }
  }
}