Stationary vacuum hyper-cylindrical solution in 4+1 dimensions

Abstract

We find a 4+1 dimensional stationary vacuum hyper-cylindrical solution solution which is spherically symmetric in $3-$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.

10 pages. to appear in MPLA

References in corpus (10)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Black Strings and p-Branes are Unstable
• Brane-World Black Holes
• Fate of the Black String Instability
• Towards the Final Fate of an Unstable Black String
• New Phase Diagram for Black Holes and Strings on Cylinders
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Stable Black Strings in Anti-de Sitter Space
• Black String Solutions with arbitrary Tension

Cited by in corpus (4)

• Extraordinary vacuum black string solutions
• Geometrical properties of the trans-spherical solutions in higher dimensions
• Geodesic motions in extraordinary string geometry
• Formation of Five-Dimensional String Solutions from the Gravitational Collapse