Symmetry analysis of the Klein-Gordon equation in Bianchi i spacetimes
المؤلف | Paliathanasis, A. |
المؤلف | Tsamparlis, M. |
المؤلف | Mustafa, M. T. |
تاريخ الإتاحة | 2024-07-31T11:33:04Z |
تاريخ النشر | 2015-03-25 |
اسم المنشور | International Journal of Geometric Methods in Modern Physics |
المعرّف | http://dx.doi.org/10.1142/S0219887815500334 |
الاقتباس | Paliathanasis, A., Tsamparlis, M., & Mustafa, M. T. (2015). Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes. International Journal of Geometric Methods in Modern Physics, 12(03), 1550033. |
الرقم المعياري الدولي للكتاب | 0219-8878 |
الملخص | In this work we perform the symmetry classification of the Klein-Gordon equation in Bianchi I spacetime. We apply a geometric method which relates the Lie symmetries of the Klein-Gordon equation with the conformal algebra of the underlying geometry. Furthermore, we prove that the Lie symmetries which follow from the conformal algebra are also Noether symmetries for the Klein-Gordon equation. We use these results in order to determine all the potentials in which the Klein-Gordon admits Lie and Noether symmetries. Due to the large number of cases and for easy reference the results are presented in the form of tables. For some of the potentials we use the Lie admitted symmetries to determine the corresponding invariant solution of the Klein-Gordon equation. Finally, we show that the results also solve the problem of classification of Lie/Noether point symmetries of the wave equation in Bianchi I spacetime and can be used for the determination of invariant solutions of the wave equation. |
راعي المشروع | This work was supported by the Instituto Nazionale di Fisica Nucleare (INFN). |
اللغة | en |
الناشر | World Scientific |
الموضوع | Bianchi invariant solutions Klein-Gordon Lie symmetries |
النوع | Article |
رقم العدد | 3 |
رقم المجلد | 12 |
ESSN | 1793-6977 |
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