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Fourth-order split monopole perturbation solutions to the Blandford-Znajek mechanism

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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.

fields

astro-ph.HE 1

years

2026 1

verdicts

UNVERDICTED 1

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