Extraordinary vacuum black string solutions
arXiv:0708.2469 · doi:10.1103/PhysRevD.77.024012
Abstract
In addition to the boosted static solution there are two other classes of stationary string-like solutions of the vacuum Einstein equation in (4+1)-dimensions. Each class is characterized by three parameters of mass, tension, and momentum flow along the fifth coordinate. We analyze the metric properties of one of the two classes, which was previously assumed to be naked singular, and show that the solution spectrum contains black string and wormhole in addition to the known naked singularity as the momentum flow to mass ratio increases. Interestingly, there does not exist new zero momentum solution in these cases.
20 pages, 4 figures, add 2 references
References in corpus (18)
- The Black Hole in Three Dimensional Space Time
- Black Strings and p-Branes are Unstable
- Brane-World Black Holes
- Supersymmetry as a Cosmic Censor
- The evolution of unstable black holes in anti-de Sitter space
- Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
- Twisting Classical Solutions in Heterotic String Theory
- Fate of the Black String Instability
- Towards the Final Fate of an Unstable Black String
- Black Rings, Boosted Strings and Gregory-Laflamme
- Stable Black Strings in Anti-de Sitter Space
- Higher Dimensional Wormhole Geometries with Compact Dimensions
- Non-Abelian Black Holes and Catastrophe Theory II: Charged Type
- Charged SU(N) Einstein-Yang-Mills Black Holes
- Classical Stability of Black D3-branes
- Black String Solutions with arbitrary Tension
- Spacetime structure of 5D hypercylindrical vacuum solutions with tension
- Stationary vacuum hyper-cylindrical solution in 4+1 dimensions
Cited by in corpus (8)
- Particle Dynamics Around the Black String
- Geometrical properties of the trans-spherical solutions in higher dimensions
- Brane Solutions with Tension
- String or branelike solutions in four-dimensional Einstein gravity in the presence of cosmological constant
- Black string and velocity frame dragging
- Geodesic motions in extraordinary string geometry
- Classification of Hypercylindrical Spacetimes with Momentum Flow
- Generating Black Strings in Higher Dimensions