Arbitrary black-string deformations in the black string-black hole transitions
arXiv:hep-th/0510051 · doi:10.1103/PhysRevD.73.064011
Abstract
We study the possible black string-black hole transition by analyzing the structure of the apparent horizon for a large family of time-symmetric initial data. We observe that, as judged by the apparent horizon, it is possible to generate arbitrarily deformed black strings at a moment of time symmetry. A similar study for hyperspherical black holes reveals that although arbitrarily deformed hyperspherical black holes can be constructed, the proper distance between the north and south poles along the extra direction has an upper limit.
10 pages, 7 figures
References in corpus (12)
- Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
- On non-uniform black branes
- Fate of the Black String Instability
- The Phase Transition between Caged Black Holes and Black Strings - A Review
- A critical dimension in the black-string phase transition
- Topology change in General Relativity and the black-hole black-string transition
- Towards the Final Fate of an Unstable Black String
- On Black-Brane Instability In an Arbitrary Dimension
- Evidence that highly non-uniform black strings have a conical waist
- On non-uniform smeared black branes
- A numerical examination of an evolving black string horizon
- Initial Data for Black Holes and Black Strings in 5d