Planetoid string solutions in 3+1 axisymmetric spacetimes

H. J. de Vega, I. L. Egusquiza
1996 Physical Review D, Particles and fields  
The string propagation equations in axisymmetric spacetimes are exactly solved by quadratures for a planetoid Ansatz. This is a straight non-oscillating string, radially disposed, which rotates uniformly around the symmetry axis of the spacetime. In Schwarzschild black holes, the string stays outside the horizon pointing towards the origin. In de Sitter spacetime the planetoid rotates around its center. We quantize semiclassically these solutions and analyze the spin/(mass$^2$) (Regge) relation
more » ... $) (Regge) relation for the planetoids, which turns out to be non-linear.
doi:10.1103/physrevd.54.7513 pmid:10020767 fatcat:qkk3ojowifadbjpbrcixchgnba