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

• Autores: R. Bartolo, Anna María Candela
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 23, Nº 3, 2008, págs. 243-253
• Idioma: inglés
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• Resumen

  • 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.