论文标题
州状态的可接受性条件和相对论的压缩方程
Acceptability Conditions and Relativistic Barotropic Equations of State
论文作者
论文摘要
我们绘制一种算法，以生成从压缩EOS开始的精确各向异性解决方案，并在公制函数上设置ANSATZ。为了说明该方法，我们使用了由多质trope和线性项组合的状态多totropic方程的概括。基于这种概括，我们开发了两个模型，这些模型并未剥夺物理意义，并满足了身体可接受条件的严格标准。我们还表明，某些相对论各向异性的多元模型可能具有大于一个的多粒子指数的奇异切向声速度。这在各向异性物质配置中发生时，当状态的多层次方程与公制函数上的ANSATZ一起实现时。在切向声音速度中，状态的广义多粒子方程不含这种病理。
We sketch an algorithm to generate exact anisotropic solutions starting from a barotropic EoS and setting an ansatz on the metric functions. To illustrate the method, we use a generalization of the polytropic equation of state consisting of a combination of a polytrope plus a linear term. Based on this generalization, we develop two models which are not deprived of physical meaning as well as fulfilling the stringent criteria of physical acceptability conditions. We also show that some relativistic anisotropic polytropic models may have singular tangential sound velocity for polytropic indexes greater than one. This happens in anisotropic matter configurations when the polytropic equation of state is implemented together with an ansatz on the metric functions. The generalized polytropic equation of state is free from this pathology in the tangential sound velocity.
