String loops in the field of braneworld spherically symmetric black holes and naked sigularities

Understand

We study motion of current-carrying string loops in the field of braneworld spherically symmetric black holes and naked singularities.

• The spacetime is described by the RN geometry with tidal charge b reflecting the non-local tidal effects coming from the external dimension; both positive and negative values of the spacetime parameter b are considered.
• We restrict attention to the axisymmetric motion of string loops when the motion can be fully governed by an appropriately defined effective potential related to the energy and angular momentum of the string loops.
• In dependence on these two constants of the motion, the string loops can be captured, trapped, or can escape to infinity.