Magnetohydrodynamics of Schwarzschild Plasmas near the Horizon

Astronomy and Astrophysics – Astronomy

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Scientific paper

Very close to the horizon of a blackhole, the gravitational acceleration becomes so large that vacuum can begin to radiate (Hawking radiation). The temperature of this radiation can exceed (twice of) the rest mass of electrons at the position Delta r=lambda_P (M/m_e)(1/2) away from the horizon, where lambda_P is the Planck length, M and m_e are the mass of the blackhole and the electron. In this vicinity a electron-positron plasma is realized even within 3R_s (R_s is the Schwarzschild's radius). We study this plasma in the 3+1 paradigm of general relativistic magnetohydrodynamics. We present various equilibrium solutions of such a plasma in a local frame (co-moving Rindler's coordinates). We also carry out a dynamical study and present MHD results of 3D simulation. The plasma is subject to magnetic buoyancy (Parker) instability, shear (Balbus-Hawley) instability, and vertical slot convection, depending on the parameters adopted. We also find jet is formed in such a system according to our simulation.

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