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 co- efficients grow at most quadratically at infinity. Fixing suitable values for the energy, we obtain timelike trajectories.
Timelike trajectories with fixed energy under a potential in static spacetimes
GERMINARIO, Anna
2006-01-01
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 co- efficients grow at most quadratically at infinity. Fixing suitable values for the energy, we obtain timelike trajectories.File in questo prodotto:
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