Open AccessTimelike trajectories with fixed energy under a potential in static spacetimes
Author(s) -
Anna Germinario
Publication year - 2006
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms/2006/86952
Subject(s) - mathematics , quadratic growth , action (physics) , metric (unit) , infinity , energy (signal processing) , scalar (mathematics) , mathematical analysis , classical mechanics , mathematical physics , physics , geometry , quantum mechanics , statistics , economics , operations management
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
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