论文标题
一般相对性的热传导
Heat conduction in general relativity
论文作者
论文摘要
我们通过使用Carter的变异配方来研究一般相对性的热传导问题。我们将熵的创造速率和粒子作为温度和化学势的涡度的组合。我们要注意以下事实：在选择Cattaneo方程的相对论类似物中，对于热量和数量流的零件，还有两个自由度。包括二手零件的贡献，我们找到了$ \ textIt {new} $ heat-flow方程，并发现它们在热力学系统中的动态作用。引入二手零件的好处是，它允许物理安萨兹（Ansatz）描述热力学系统的整个演变。利用该平台，我们提出了一个适当的ANSATZ，该ANSATZ处理由热平衡系统的物理特性开始的二手贡献。我们还考虑了在平坦背景下热力学系统的稳定性。我们发现$ \ textit {new} $“ klein”模式除了已知的模式。我们还发现，稳定性要求不如文献中的稳定性。
We study the problem of heat conduction in general relativity by using Carter's variational formulation. We write the creation rates of the entropy and the particle as combinations of the vorticities of temperature and chemical potential. We pay attention to the fact that there are two additional degrees of freedom in choosing the relativistic analog of Cattaneo equation for the parts binormal to the caloric and the number flows. Including the contributions from the binormal parts, we find a $\textit{new}$ heat-flow equations and discover their dynamical role in thermodynamic systems. The benefit of introducing the binormal parts is that it allows room for a physical ansatz for describing the whole evolution of the thermodynamic system. Taking advantage of this platform, we propose a proper ansatz that deals with the binormal contributions starting from the physical properties of thermal equilibrium systems. We also consider the stability of a thermodynamic system in a flat background. We find that $\textit{new}$ "Klein" modes exist in addition to the known ones. We also find that the stability requirement is less stringent than those in the literature.
