Timelike trajectories with fixed energy under a potential in static spacetimes
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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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/86952 |
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| _version_ | 1850120773020155904 |
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| author | Anna Germinario |
| author_facet | Anna Germinario |
| author_sort | Anna Germinario |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5f3d77a12f0b42c9aadeeec469181d98 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5f3d77a12f0b42c9aadeeec469181d982025-08-20T02:35:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8695286952Timelike trajectories with fixed energy under a potential in static spacetimesAnna Germinario0Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona 4, Bari 70125, ItalyBy 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.http://dx.doi.org/10.1155/IJMMS/2006/86952 |
| spellingShingle | Anna Germinario Timelike trajectories with fixed energy under a potential in static spacetimes International Journal of Mathematics and Mathematical Sciences |
| title | Timelike trajectories with fixed energy under a potential in static spacetimes |
| title_full | Timelike trajectories with fixed energy under a potential in static spacetimes |
| title_fullStr | Timelike trajectories with fixed energy under a potential in static spacetimes |
| title_full_unstemmed | Timelike trajectories with fixed energy under a potential in static spacetimes |
| title_short | Timelike trajectories with fixed energy under a potential in static spacetimes |
| title_sort | timelike trajectories with fixed energy under a potential in static spacetimes |
| url | http://dx.doi.org/10.1155/IJMMS/2006/86952 |
| work_keys_str_mv | AT annagerminario timeliketrajectorieswithfixedenergyunderapotentialinstaticspacetimes |