Timelike trajectories with fixed energy under a potential in static spacetimes

Anna Germinario

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-16

Abstract:

By variational methods, we study the motions of a relativistic particle under the action of an external scalar potential. We consider standard static spacetimes whose metric coefficients grow at most quadratically at infinity. Fixing suitable values for the energy, we obtain timelike trajectories.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:086952

DOI: 10.1155/IJMMS/2006/86952

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