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A One-Dimensional Relativistic Shock Model for the Light Curve of Gamma-ray Bursts

机译:伽马射线暴光曲线的一维相对论冲击模型

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We investigate the forming of gamma-ray burst pulses with a simple one-dimensional relativistic shock model. The mechanism is that a "central engine" drives forward the nearby plasma inside the fireball to generate a series of pressure waves. We give a relativistic geometric recurrence formula that connects the time when the pressure waves are produced and the time when the corresponding shocks occurred. This relation enables us to relate the pulse magnitude with the observation time. Our analysis shows that the evolution of the pressure waves leads to a fast rise and an exponential decay pulses. In determining the width of the pulses, the acceleration time is more important than that of the deceleration.
机译:我们用简单的一维相对论冲击模型研究伽马射线脉冲的形成。其机理是“中央引擎”驱动火球内部附近的等离子产生一系列压力波。我们给出了一个相对论的几何递推公式,该公式将产生压力波的时间与发生相应冲击的时间联系起来。这种关系使我们能够将脉冲幅度与观察时间相关联。我们的分析表明,压力波的演化导致快速上升和指数衰减脉冲。在确定脉冲宽度时,加速时间比减速时间重要。

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