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Spherical relativistic radiation flows with variable Eddington factor

机译：具爱丁顿因子的球形相对论辐射流

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摘要

We solve spherically symmetric radiation flows under full special relativity with the help of a variable Eddington factor, f (tau,beta), where tau is the optical depth and beta is the flow velocity normalized by the speed of light. Relativistic radiation hydrodynamics under the moment formalism has several complex problems, such as a closure relation. Conventional moment equations closed with the traditional Eddington approximation in the comoving frame have singularity, beyond which the flow cannot be accelerated. In order to avoid such a pathological behavior inherent in the relativistic moment formalism, we propose a variable Eddington factor, which depends on the flow velocity as well as the optical depth, for the case of sperically symmetric one-dimensional flow. We then calculate the relativistic spherical flow with such variable Eddington factors to investigate the case that gas is accelerated by radiative force. As a result, it is shown that the gas speed reaches around the speed of light by radiation pressure.
机译：我们借助可变的爱丁顿因子f（tau，beta）来解决相对论下的球对称辐射流，其中tau是光学深度，β是通过光速归一化的流速。形式主义下的相对论辐射流体动力学具有几个复杂的问题，例如封闭关系。在共同运动框架中用传统的Eddington逼近封闭的常规力矩方程具有奇异性，超过该奇异性将无法加速流动。为了避免相对论矩形式主义固有的这种病理行为，我们提出了一个可变的爱丁顿因子，对于精对称的一维流，它取决于流速以及光学深度。然后，我们用这种可变的爱丁顿因子来计算相对论的球形流，以研究气体被辐射力加速的情况。结果表明，气体速度由于辐射压力而达到光速附近。

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