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arXiv 1303.4261astro-ph.HE
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伽玛暴中的超相对论中微子驱动流:史瓦西时空中的双跨音速流解

Ultra-relativistic, neutrino driven flows in GRBs: A double transonic flow solution in Schwarzschild spacetime

Amir Levinson, Noemie Globus

摘要:

本文计算了Schwarzschild黑洞极区中微子湮灭驱动的流体动力学双跨音速流在不同能量沉积剖面下的结构。要求流入黑洞和流出到无穷远的流都能平稳地通过它们的音速点,这就确定了驻点半径和驻点压力。流出的渐近功率被示出为在停滞半径以上的能量沉积率的积分。流出生产效率取决于能量沉积剖面,并且对于较浅的剖面通常较高。使用最近的中微子湮灭率的计算,我们估计,超过50%的总能量沉积在视界以上,可以出现在无穷远的相对论流出的形式。在流出物的膨胀过程中等离子体的连续产生导致产生大的比熵。这对伽玛暴中的瞬发光球辐射有重要意义。

英文摘要:

The structure of a hydrodynamic, double transonic flow driven by neutrino annihilation in the polar region of a Schwarzschild black hole is computed for different energy deposition profiles. The requirement that both, the inflow into the black hole and the outflow to infinity pass smoothly through their sonic points fixes the stagnation radius and stagnation pressure. The asymptotic power of the outflow is shown to be the integral of the energy deposition rate above the stagnation radius. The outflow production efficiency depends on the energy deposition profile, and is generally higher for shallower profiles. Using recent calculations of the neutrino annihilation rate, we estimate that over 50 percents of the total energy deposited above the horizon can emerge in the form of a relativistic outflow at infinity. The continuous creation of plasma during the expansion of the outflow leads to generation of a large specific entropy. This has important implications for the prompt photospheric emission in GRBs.

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