We show that a static Lorentzian manifold satisfying a completeness assumption is geodesically connected. In particular, such condition is satisfied by all compact static manifolds; in the compact case, we also prove the existence of a closed geodesic in every free homotopy class determined by a finite number of deck transformations.
Some global properties of static spacetimes / Caponio, Erasmo; Masiello, Antonio; Piccione, P.. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 244:3(2003), pp. 457-468. [10.1007/s00209-003-0488-0]
Some global properties of static spacetimes
Caponio, Erasmo;MASIELLO, Antonio;
2003-01-01
Abstract
We show that a static Lorentzian manifold satisfying a completeness assumption is geodesically connected. In particular, such condition is satisfied by all compact static manifolds; in the compact case, we also prove the existence of a closed geodesic in every free homotopy class determined by a finite number of deck transformations.File in questo prodotto:
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