STATIONARY VACUUM HYPER-CYLINDRICAL SOLUTION IN 4+1 DIMENSIONS

摘要

We find a (4+1)-dimensional stationary vacuum hyper-cylindrical solution which is spherically symmetric in three dimensions and invariant under the translation along the fifth coordinate. The solution is characterized by three parameters, mass, tension, and conserved momentum along the fifth coordinate. The metric is locally equivalent to the known static solution. We briefly discuss its physical properties.