标题： 柱对称静态引力场的物理解释 显示英文标题

标题： Physical Interpretation of Cylindrically Symmetric Static Gravitational Fields

摘要： 在爱因斯坦引力理论中，确定了静态圆柱形物质分布的内部性质与外部时空度规之间的显式关系，适用于时空维度大于或等于四的情况。 这是通过使用在横向坐标中各向同性的坐标系来实现的。 作为推论，对于Brans-Dicke引力理论中维度大于或等于三的球形物质分布，得到了类似的结果。 这里使用的方法导致了描述外部度规的参数的一致性条件。 表明这些条件等价于物质分布的静力平衡要求（广义Oppenheimer-Volkoff方程）。 这些条件导致了一个一致的牛顿极限，在该极限下压力和引力常数以相同的速度趋于零。 显示英文摘要

摘要： The explicit relationship is determined between the interior properties of a static cylindrical matter distribution and the metric of the exterior space-time according to Einstein gravity for space-time dimensionality larger or equal to four. This is achieved through use of a coordinate system isotropic in the transverse coordinates. As a corollary, similar results are obtained for a spherical matter distribution in Brans-Dicke gravity for dimensions larger than or equal to three. The approach used here leads to consistency conditions for those parameters characterizing the exterior metric. It is shown that these conditions are equivalent to the requirement of hydrostatic equilibrium of the matter distribution (generalized Oppenheimer-Volkoff equations). These conditions lead to a consistent Newtonian limit where pressures and the gravitational constant go to zero at the same rate.