Hj. Devega et Il. Egusquiza, PLANETOID STRING SOLUTIONS IN 3-AXISYMMETRICAL SPACETIMES(1), Physical review. D. Particles and fields, 54(12), 1996, pp. 7513-7519
The string propagation equations in axisymmetric spacetimes are exactl
y solved by quadratures for a planetoid ansatz. This is a straight non
oscillating string, radially disposed which rotates uniformly around t
he symmetry axis of the spacetime. In Schwarzschild black holes, the s
tring stays outside the horizon pointing towards the origin. In de Sit
ter spacetime the planetoid rotates around its center. We quantize sem
iclassically these solutions and analyze the spin/(mass(2)) (Regge) re
lation for the planetoids, which turns out to be nonlinear.