论文标题
用GR的新的精确内部溶液进行固定的固定固定旋转各向异性圆柱体的研究。 5。尘埃限制和讨论
Study of stationary rigidly rotating anisotropic cylindrical fluids with new exact interior solutions of GR. 5. Dust limit and discussion
论文作者
论文摘要
本文是五个专门研究各向异性压力对固定刚性刚性圆柱对称流体的重力影响的影响的五个系列中的最后一篇文章，并使用了新的一般相对性溶液。在本系列的四个第一篇论文中，已经考虑了沿流体的主要应力之一，并且已经考虑了三种压力，并且已经构建和分析了场方程的新内部解决方案。在这里，在这些先前的工作中提出的关键结果和问题是合成的，并且有一些基本的相对论，因果关系，洛伦兹歧管的规律性，对称性轴，奇异性，角度缺陷的物理，弱和强大能量条件的基本平坦度。然后，显示了相应的灰尘溶液的新推导，并显示为对应于Lanczos-Van Stockum解决方案，从而将新的光散发到了这个众所周知的时空。
The present article is the last in a series of five devoted to the study of the effect of anisotropic pressure on the gravitationnal impact of a stationary rigidly rotating cylindrically symmetric fluid with the use of new exact solutions of General Relativity. In the four first papers in this series, three kinds of pressures directed each along one of the principal stresses of the fluid have been considered and new interior solutions of the field equations have been constructed and analyzed. Here, key results and issues raised in these previous works are synthesized and some fundamental notions of general relativity, causality, regularity of Lorentzian manifolds, elementary flatness in the vicinity of a symmetry axis, singularities, physics of angular deficits, weak and strong energy conditions, are revisited. Then, a new derivation of the corresponding dust solution is displayed and shown to correspond indeed to the Lanczos-van Stockum solution shedding new light to this well-known spacetime.
