Mathisson–Papapetrou–Tulczyjew–Dixon equations in ultra-relativistic regime and gravimagnetic moment; International Journal of Modern Physics D; Vol. 26, iss. 6
| Parent link: | International Journal of Modern Physics D: Scientific Journal Vol. 26, iss. 6.— 2016.— [12 p.] |
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| Summary: | Title screen Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in the Lagrangian formulation correspond to the minimal interaction of spin with gravity. Due to the interaction, in the Lagrangian equations instead of the original metric gg emerges spin-dependent effective metric G=g+h(S)G=g+h(S). So we need to decide, which of them the MPTD particle sees as the spacetime metric. We show that the MPTD equations, if considered with respect to the original metric (using the standard Landau-Lifshitz spacetime decomposition), have unexpected behavior: the acceleration in the direction of the velocity grows up to infinity in the ultra-relativistic limit. If considered with respect to GG, the theory does not have this problem. But the metric now depends on spin, so there is no unique spacetime manifold for the universe of spinning particles: each particle probes its own three-dimensional (3D) geometry. This can be improved by adding a nonminimal interaction, given the modified MPTD equations with reasonable behavior within the original metric. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2016
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| Online Access: | http://dx.doi.org/10.1142/S021827181750047X |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=652690 |
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| 200 | 1 | |a Mathisson–Papapetrou–Tulczyjew–Dixon equations in ultra-relativistic regime and gravimagnetic moment |f A. A. Deriglazov, W. G. Ramirez | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 330 | |a Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in the Lagrangian formulation correspond to the minimal interaction of spin with gravity. Due to the interaction, in the Lagrangian equations instead of the original metric gg emerges spin-dependent effective metric G=g+h(S)G=g+h(S). So we need to decide, which of them the MPTD particle sees as the spacetime metric. We show that the MPTD equations, if considered with respect to the original metric (using the standard Landau-Lifshitz spacetime decomposition), have unexpected behavior: the acceleration in the direction of the velocity grows up to infinity in the ultra-relativistic limit. If considered with respect to GG, the theory does not have this problem. But the metric now depends on spin, so there is no unique spacetime manifold for the universe of spinning particles: each particle probes its own three-dimensional (3D) geometry. This can be improved by adding a nonminimal interaction, given the modified MPTD equations with reasonable behavior within the original metric. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t International Journal of Modern Physics D |o Scientific Journal | ||
| 463 | |t Vol. 26, iss. 6 |v [12 p.] |d 2016 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a ультрарелятивистские частицы | |
| 610 | 1 | |a spinning particle | |
| 610 | 1 | |a ultra-relativistic motion | |
| 610 | 1 | |a gravimagnetic moment | |
| 700 | 1 | |a Deriglazov |b A. A. |c mathematician |c Associate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences |f 1962- |g Alexei Anatolievich |3 (RuTPU)RU\TPU\pers\34651 | |
| 701 | 1 | |a Ramirez |b W. G. |g Walberto Guzman | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра высшей математики и математической физики (ВММФ) |b Международная лаборатория математической физики (МЛМФ) |3 (RuTPU)RU\TPU\col\21297 |
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