Periodic trajectories in plane wave type spacetimes

R. Bartolo; Anna Maria Candela; J.L. Flores; Addolorata Salvatore

doi:10.3934/proc.2005.2005.77

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2005, Volume 2005: 77-83. Doi: 10.3934/proc.2005.2005.77 open access

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Periodic trajectories in plane wave type spacetimes

1.
Dipartimento di Matematica, Politecnico di Bari, Via G. Amendola 126/B, 70126 Bari
2.
Dipartimento Di Matematica, Universita' degli Studi di Bari "Aldo Moro", via E. Orabona 4, 70125 Bari
3.
Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga
4.
Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona 4, 70125 Bari

Received: August 31, 2004

Revised: March 31, 2005

Published: August 2005

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Abstract

In this note we study periodic trajectories in Plane Wave type spacetimes by applying some recent results about periodic orbits for a Lagrangian system in a Riemannian manifold under the action of an (eventually) unbounded potential.

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Mathematics Subject Classification: 58E10; Secondary: 37J45, 49J40, 83C35.

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