Worldline deviations of charged spinning particles. (English) Zbl 1247.83019
Summary: The geodesic deviation equation is generalized to worldline deviation equations describing the relative accelerations of charged spinning particles in the framework of Dixon-Souriau equations of motion.
MSC:
| 83C10 | Equations of motion in general relativity and gravitational theory |
References:
| [1] | Balakin, A.; van Holten, J. W.; Kerner, R., Class. Quantum Grav., 17, 5009 (2000) · Zbl 0983.83007 |
| [2] | Mohseni, M., Phys. Lett. B, 587, 133 (2004) |
| [3] | Chicone, C.; Mashhoon, B.; Punsly, B., Phys. Lett. A, 343, 1 (2005) · Zbl 1181.83148 |
| [4] | Dixon, W. G., Nuovo Cimento, 34, 317 (1964) · Zbl 0124.22201 |
| [5] | Souriau, J. M., Ann. Inst. H. Poincaré A, 20, 315 (1974) · Zbl 1422.83017 |
| [6] | Hojman, R.; Hojman, S., Phys. Rev. D, 15, 2724 (1977) |
| [7] | Prasanna, A. R.; Virbhadra, K. S., Phys. Lett. A, 138, 242 (1989) |
| [8] | Prasanna, A. R.; Virbhadra, K. S., Phys. Lett. A, 145, 410 (1990) |
| [9] | Bini, D.; Gemelli, G.; Ruffini, R., Phys. Rev. D, 61, 064013 (2000) |
| [10] | Stuchlik, Z.; Hledik, S., Phys. Rev. D, 64, 104016 (2001) |
| [11] | Baleanu, D., Nuovo Cimento B, 111, 973 (1996) |
| [12] | Prasanna, A. R.; Virbhadra, K. S., Pramana, 32, 449 (1989) |
| [13] | Papadopoulos, D. B., Gen. Relativ. Gravit., 36, 949 (2004) · Zbl 1052.83015 |
| [14] | Cognola, G.; Soldati, S.; Vanzo, L.; Zerbini, S., Phys. Rev. D, 25, 3109 (1982) |
| [15] | Cognola, G.; Soldati, R.; Vanzo, L.; Zerbini, S., Nuovo Cimento B, 76, 109 (1983) |
| [16] | Cognola, G.; Vanzo, L.; Zerbini, S., Phys. Lett. B, 104, 88 (1981) |
| [17] | Bailey, I.; Israel, W., Commun. Math. Phys., 42, 65 (1975) |
| [18] | Dixon, W. G., Proc. R. Soc. London, Ser. A, 314, 499 (1970) |
| [19] | Tod, K. P.; de Felice, F.; Calvani, M., Nuovo Cimento B, 34, 365 (1976) |
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