Research ArticleOpen AccessGoogle Scholar indexed
The Jeans Equation Generalization for the Rotating Universe
Astrophysical Institute Named After V.G. Fessenkov, Almaty, Kazakhstan
Astrophysical Institute Named After V.G. Fessenkov, Almaty, Kazakhstan
- 1 Astrophysical Institute Named After V.G. Fessenkov, Almaty, Kazakhstan
- 2 Astrophysical Institute Named After V.G. Fessenkov, Almaty, Kazakhstan
International Journal of Astronomy and Astrophysics·Volume 04 (2014)·Pages 614–619·Published 18 November 2014·DOI10.4236/ijaa.2014.44056
Copy link · social · email
Abstract
The generalization of Jeans equation in expanding and rotating Universe is given. We found the generalized frequency of baryonic substrate oscillations in the rotating Universe. In doing this, two cases were considered: the generalized wave vector coincides with the Jeans wave vector and second case, when the generalized wave vector tends to zero.
KeywordsJeans EquationsRotating Universe
- Byrd, G.G., Chernin, A.D. and Valtonen, M.J. (2007) Cosmology: Foundations and Frontiers. URSS, Moscow.
- Chernin, A.D. (2006) Cosmic Vacuum and Galaxy Formation. Astronomical and Astrophysical Transactions, 25, 205-211. http://dx.doi.org/10.1080/10556790600938743
- Ellis, J. and Olive, K.A. (1983) Inflation Can Solve the Rotation Problem. Nature, 303, 679-681. http://dx.doi.org/10.1038/303679a0
- Gamov, G. (1946) Rotating Universe. Nature, 158, 549. http://dx.doi.org/10.1038/158549a0
- Chechin, L.M. (2010) The Cosmic Vacuum and the Rotation of Galaxies. Astronomy Reports, 54, 719-723. http://dx.doi.org/10.1134/S1063772910080044
- Chechin, L.M. (2013) On the Modern Status of the Universe Rotation Problem. Journal of Modern Physics, 4, 126-132. http://dx.doi.org/10.4236/jmp.2013.48A012
- Zel’dovich, Ya.B. and Novikov, I.D. (1983) Structure and Evolution of the Universe, Relativistic Astrophysics. University of Chicago Press, Chicago.
- Chechin, L.M. (2006) Antigravitational Instability of Cosmic Substrate in the Newtonian Cosmology. Chinese Physics Letters, 23, 2344-2347. http://dx.doi.org/10.1088/0256-307X/23/8/104
- Capozziello, S., Laurientis, M., Martino, I., et al. (2000) Jeans Analysis of Self-Gravitating Systems in f(R) Gravity. arXiv:astro-ph/0001428v1
- Hansen, S.H. (2004) Dark Matter Density Profiles from the Jeans Equation. arXiv:astro-ph/0405371v2
- Kasper, B.S., Hansen, S.H., An, J.H., et al. (2009) Dark Matter Angular Momentum Profile from the Jeans Equation. ArXiv:0901.0928v3[astro-ph.Co]
- Genzel, R., Pichon, C., Eckart, A., et al. (2009) Stellar Dynamics in the Galactic Centre: Proper Motions and Anisotropy. ArXiv:astro-ph/0001428v1
- Chechin, L.M. and Ibraimova, A.T. (2013) Friedmann Equations in the Rotating Frame of Reference. The Bulletin of the National Academy of Sciences of the Republic of Kazakhstan, 15-19 (in Russian).
- Zel’dovich, Ya.B., Sazhin, M.V. and Dolgov, A.D. (1990) Early Universe Cosmology. Moscow State University, Moscow.
- Chandrasekhar, S. (1969) Ellipsoidal Figures of Equilibrium. Yale University Press, Dover.