Flat gravitational waves in spatially homogeneous models of Stackel spaces of type (3.1)
The classification of spacetimes with plane-wave metrics on the basis of the presence of three-dimensional subgroups of the group of motion with three-dimensional spatial orbits is carried out. For the obtained spatially homogeneous models, exact solutions of the Einstein vacuum equations are obtained. For the solutions obtained, the classification according to Petrov and Bianchi is carried out. The results obtained on the classification of plane-wave metrics on the allowed three-dimensional subgroups of the group of motions with three-dimensional spatial orbits can be used for any metric theory of gravity.
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Keywords
Bianchi classification, Petrov classification, gravitational waves, homogeneous spaces, group of motions, exact solutions, theory of gravity, классификация Бианки, классификация Петрова, однородные пространства, гравитационные волны, группа движений, точные решения, теория гравитацииAuthors
| Name | Organization | |
| Osetrin E.K. | Tomsk State Pedagogical University | evgeny.osetrin@gmail.com |
| Osetrin K.E. | Tomsk State Pedagogical University | osetrin@tspu.edu.ru |
| Filippov A.E. | Tomsk State Pedagogical University | altair@tspu.edu.ru |
References
Nojiri S. and Odintsov S.D. // Phys. Rept. - 2011. - No. 505. - P. 59-144.
Nojiri S. and Odintsov S.D. // Int. J. Geom. Meth. Mod. Phys. - 2007. - V. 4. - P. 115-146.
Osetrin K.E., Obukhov V.V., and Filippov A.E. // J. Phys. A. - 2006. - V. 39. - No. 21. - P. 6641-6647.
Обухов В.В., Осетрин К.Е., Филиппов А.Е. // Изв. вузов. Физика. - 2002. - Т. 45. - № 1. - С. 42-50.
Obukhov V.V., Osetrin K.E., and Rybalov Yu.A. // Grav. Cosmol. - 2008. - V. 14. - No. 1. - P. 104-108.
Багров В.Г., Обухов В.В., Осетрин К.Е., Филиппов А.Е. // Grav. Cosmol. - 1999. - V. 5. -No. 4(20), Supplement. - C. 10-16.
Макаренко А.Н., Осетрин К.Е. // Изв. вузов. Физика. - 1999. - Т. 42. - № 10. - С. 34-41.
Багров В.Г., Oбухов В.В., Oсетрин K.E. // Изв. вузов. Физика. - 1997. - Т. 40. - № 10. - С. 74- 78.
Багров В.Г., Истомин А.Д., Обухов В.В., Осетрин К.Е. // Изв. вузов. Физика. - 1996. - Т. 39. - № 8. - С. 48-53.
Osetrin E. and Osetrin K. // J. Math. Phys. - 2017. - V. 58. - No. 11. - P. 112504.
Bagrov V.G., Obukhov V.V., and Osetrin K.E. // Gen. Relativ. Gravit. - 1988. - V. 20. - No. 11. - P. 1141-1154.
Osetrin K., Filippov A., and Osetrin E. // Mod. Phys. Lett. - 2016. - V. A31. - No. 06. - P. 650027.
Obukhov V.V. and Osetrin K.E. // Proceedings of Science (WC2004). - P. 027.
Shapovalov V. N. // Sib. Math. J. - 1979. - V. 20. - P. 1117.
Шаповалов В. Н. // Изв. вузов. Физика. - 1978. - Т. 21. - № 9. - С. 18.
Stackel P. Uber die Integration der Hamilton - Jacobischen Differential-gleichung mittels Separation der Variabeln. - Halle: Hakilitationsschrift, 1891.
Stackel P. // Math. Ann. - 1893. - V. 42. - P. 537-563.
