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2005, 2005(Special): 77-83. doi: 10.3934/proc.2005.2005.77

Periodic trajectories in plane wave type spacetimes

R. Bartolo 1, , Anna Maria Candela 2, , J.L. Flores 3, and  Addolorata Salvatore 4,

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, Italy
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, Italy

Received  September 2004 Revised  April 2005 Published  September 2005

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.
Keywords: Plane Wave type spacetime, periodic orbit, variational tools., gravitational wave, unbounded potential, periodic trajectory.
Mathematics Subject Classification: 58E10; Secondary: 37J45, 49J40, 83C3.
Citation: R. Bartolo, Anna Maria Candela, J.L. Flores, Addolorata Salvatore. Periodic trajectories in plane wave type spacetimes. Conference Publications, 2005, 2005 (Special) : 77-83. doi: 10.3934/proc.2005.2005.77
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