Resumen de Normal trajectories in stationary spacetimes under the action of an external field with quadratic asymptotic behavior

R. Bartolo, Anna María Candela

• The aim of this note is to study the existence of normal trajectories joining two given submanifolds under the action of an external ¯eld in a standard stationary spacetime.

  Here, it is assumed that both the growth of the potential and that one of the coe±cients of the metric are critical in a suitable sense.