Hydromagnetic Energy Conversion and Prompt Collimation in Mildly Advective, Kerr Black Holes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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14 pgs, no figures, submitted to M.N.R.A.S. V2: slightly revised text, citations and output numbers

Scientific paper

Recent evidence of the phenomenal energetics involved in gamma ray burst events strongly suggests that the progenitor must efficiently convert gravitational binding energy into a moderately collimated outflow, possibly in the form of a Poynting jet. We show that an MHD-instability driven dynamo (IDD) operating in a hot accretion disk is capable of generating energetically adecuate magnetic flux deposition rates above and below a mildly advective accretion disk structure. The dynamo is driven by the magnetorotational instability (MRI) of a toroidal field in a shear flow and is limited by the buoyancy of `horizontal' flux and by reconnection in the turbulent medium. In the comoving frame of a semi-thick, slim disk setting, the predominant field components reside in surfaces perpendicular to the local meridian and the flux is deposited in funnels that are relatively free of baryons. The efficiency of magnetic energy deposition is estimated to be comparable to the neutrino losses but the strong effective shear induced by the metric on the MRI favors pumping magnetic field energy at low wavenumbers, i.e., field generation at large coherence lengthscales. This, in turn, suggests that an MHD collimation mechanism may deem this process a more viable alternative to neutrino-burst--driven models of gamma ray bursts.

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