1 research outputs found
Evolution of a black hole-inhabited brane close to reconnection
Last moments of a mini black hole escaping from a brane are studied. It is
argued that at the point of reconnection, where the piece of the brane attached
to the black hole separates from the rest, the worldsheet of the brane becomes
isotropic (light-like). The degenerate mode of evolution, with the worldsheet
isotropic everywhere, is investigated. In particular, it is shown that the
brane approaches the reconnection point from below if it reconnects within a
certain limit distance, and from above if it reconnects beyond that distance.
The rate of relaxation to the degenerate mode is established. If the dimension
of the brane is , the nondegeneracy, measured by the determinant of the
relevant part of the induced metric tensor, falls down as (latitudinal
angle).Comment: 20 pages, 4 figure