Currentcarrying string loops in blackhole spacetimes with a repulsive cosmological constant
Abstract
Currentcarrying string loop dynamics in Schwarzschildde Sitter spacetimes characterized by the cosmological parameter λ=(1)/(3)ΛM^{2} is investigated. With attention concentrated to the axisymmetric motion of string loops it is shown that the resulting motion is governed by the presence of an outer tension barrier and an inner angular momentum barrier that are influenced by the black hole gravitational field given by the mass M and the cosmic repulsion given by the cosmological constant Λ. The gravitational attraction could cause capturing of the string having low energy by the black hole or trapping in its vicinity; with high enough energy, the string can escape (scatter) to infinity. The role of the cosmic repulsion becomes important in vicinity of the socalled static radius where the gravitational attraction is balanced by the cosmic repulsion—it is demonstrated both in terms of the effective potential of the string motion and the basin boundary method reflecting its chaotic character, that a potential barrier exists along the static radius behind which no trapped oscillations may exist. The trapped states of the string loops, governed by the interplay of the gravitating mass M and the cosmic repulsion, are allowed only in Schwarzschildde Sitter spacetimes with the cosmological parameter λ<λ_{trap}∼0.00497. The trapped oscillations can extend close to the radius of photon circular orbit, down to r_{mt}∼3.3M.
 Publication:

Physical Review D
 Pub Date:
 December 2010
 DOI:
 10.1103/PhysRevD.82.125012
 arXiv:
 arXiv:1103.4005
 Bibcode:
 2010PhRvD..82l5012K
 Keywords:

 11.27.+d;
 04.70.s;
 98.80.Es;
 Extended classical solutions;
 cosmic strings domain walls texture;
 Physics of black holes;
 Observational cosmology;
 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Extragalactic Astrophysics
 EPrint:
 21 pages, 22 figures