倾斜无剪切轴对称流体
Tilted shear-free axially symmetric fluids
摘要:
本文从倾斜同余的观点出发,对观测者同动同余的轴对称流体分布的物理性质进行了系统的研究,这些流体分布是测地线的、无剪切的、无旋的、无耗散的和纯电的。外尔张量的磁性部分为观测者的同动同余的消失,表明在系统的演化过程中没有引力辐射产生。相反,倾斜观测者测量的外尔张量的磁性部分是不为零的(以及剪切、四-加速度、涡度和耗散),产生了一个引力辐射通量,可以通过超-坡印廷矢量来表征。这一结果进一步加强了观测者在描述物理系统中的作用。这种双重解释的信息论的条款,提供了一个解释。
英文摘要:
We carry on a systematic study of the physical properties of axially symmetric fluid distributions, which appear to be geodesic, shear--free, irrotational, non--dissipative and purely electric, for the comoving congruence of observers, from the point of view of the tilted congruence. The vanishing of the magnetic part of the Weyl tensor for the comoving congruence of observers, suggests that no gravitational radiation is produced during the evolution of the system. Instead, the magnetic part of the Weyl tensor as measured by tilted observers is non vanishing (as well as the shear, the four--acceleration, the vorticity and the dissipation), giving rise to a flux of gravitational radiation that can be characterized through the super--Poynting vector. This result strengthens further the relevance of the role of observers in the description of a physical system. An explanation of this dual interpretation in terms of the information theory, is provided.
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