A No Black Hole Theorem
arXiv:1410.1875 · doi:10.1088/0264-9381/32/5/055011
Abstract
We show that one cannot put a stationary (extended) black hole inside certain gravitating flux-tubes. This includes an electric flux-tube in five-dimensional Einstein-Maxwell theory, as well as the standard flux-branes of string theory. The flux always causes the black hole to grow indefinitely. One finds a similar restriction in a Kaluza-Klein setting where the higher dimensional spacetime contains no matter.
arXiv comment20 pages, 4 figures. v2: reference added
References in corpus (15)
- Building an AdS/CFT superconductor
- Breaking an Abelian gauge symmetry near a black hole horizon
- Kerr black holes with scalar hair
- Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
- Black Holes in Magnetic Monopoles
- A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
- The Decay of Magnetic Fields in Kaluza-Klein Theory
- Black holes with only one Killing field
- Flux-branes and the Dielectric Effect in String Theory
- Gravitating Fluxbranes
- Inhomogeneous Near-extremal Black Branes
- Horizons Inside Classical Lumps
- A Simple Holographic Model of Nonlinear Conductivity
- No-dipole-hair theorem for higher-dimensional static black holes
- Can a stationary Bianchi black brane have momentum along the direction with no translational symmetry?