标题： 利维-奇维塔时空在高维理论中 显示英文标题

标题： Levi-Civita spacetimes in multidimensional theories

摘要： 我们得到爱因斯坦场方程在$(4 + N)$维度下的最一般的静态柱对称真空解。 在变量分离假设下，我们在$(4 + N)$中构造了一族Levi-Civita-Kasner真空解。 我们讨论静态解的维度约化。 根据约化过程，它们可以被解释为Levi-Civita时空的标量真空推广，或者作为分形世界理论中理想化弦外部的有效4D真空时空。 显示英文摘要

摘要： We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in $(4 + N)$ dimensions. Under the assumption of separation of variables, we construct a family of Levi-Civita-Kasner vacuum solutions in $(4 + N)$. We discuss the dimensional reduction of the static solutions. Depending on the reduction procedure, they can be interpreted either as a scalar-vacuum generalization of Levi-Civita spacetimes, or as the effective 4D vacuum spacetime outside of an idealized string in braneworld theory.