Fate of Kaluza-Klein Black Holes: Evaporation or Excision?
arXiv:gr-qc/0703029 · doi:10.1103/PhysRevD.75.104017
Abstract
We study evaporation process of black strings which are typical examples of Kaluza-Klein black holes. Taking into account the backreaction of the Hawking radiation, we deduce the evolution equation for the radion field. By solving the evolution equation, we find that the shape of the internal space is necked by the Hawking radiation and the amount of the deformation becomes large as the evaporation proceeds. Based on this analysis, we speculate that the Kaluza-Klein black holes would be excised from the Kaluza-Klein spacetime before the onset of the Gregory-Laflamme instability and therefore before the evaporation.
arXiv comment6 pages, 4 figures
References in corpus (14)
- The Hierarchy Problem and New Dimensions at a Millimeter
- Black Strings and p-Branes are Unstable
- Evanescent Black Holes
- Black Holes in Theories with Large Extra Dimensions: a Review
- Instabilities of Black Strings and Branes
- Black Hole Radiation in the Brane World and Recoil Effect
- Black Hole as a Point Radiator and Recoil Effect on the Brane World
- Kaluza-Klein Black Holes with Squashed Horizons
- Tachyon Condensation and Black Strings
- The Dimensional-Reduction Anomaly
- Escape of black holes from the brane
- Radionic Non-uniform Black Strings
- Rotating Black String and Effective Teukolsky Equation in Braneworld
- Black String Perturbations in RS1 Model