The Jeans Equation Generalization for the Rotating Universe

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.

Share and Cite:

Chechin, L. and Ibraimova, A. (2014) The Jeans Equation Generalization for the Rotating Universe. International Journal of Astronomy and Astrophysics, 4, 614-619. doi: 10.4236/ijaa.2014.44056.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Byrd, G.G., Chernin, A.D. and Valtonen, M.J. (2007) Cosmology: Foundations and Frontiers. URSS, Moscow.
[2] Chernin, A.D. (2006) Cosmic Vacuum and Galaxy Formation. Astronomical and Astrophysical Transactions, 25, 205-211. http://dx.doi.org/10.1080/10556790600938743
[3] Ellis, J. and Olive, K.A. (1983) Inflation Can Solve the Rotation Problem. Nature, 303, 679-681. http://dx.doi.org/10.1038/303679a0
[4] Gamov, G. (1946) Rotating Universe. Nature, 158, 549. http://dx.doi.org/10.1038/158549a0
[5] Chechin, L.M. (2010) The Cosmic Vacuum and the Rotation of Galaxies. Astronomy Reports, 54, 719-723. http://dx.doi.org/10.1134/S1063772910080044
[6] 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
[7] Zel’dovich, Ya.B. and Novikov, I.D. (1983) Structure and Evolution of the Universe, Relativistic Astrophysics. University of Chicago Press, Chicago.
[8] 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
[9] Capozziello, S., Laurientis, M., Martino, I., et al. (2000) Jeans Analysis of Self-Gravitating Systems in f(R) Gravity. arXiv:astro-ph/0001428v1
[10] Hansen, S.H. (2004) Dark Matter Density Profiles from the Jeans Equation. arXiv:astro-ph/0405371v2
[11] 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]
[12] Genzel, R., Pichon, C., Eckart, A., et al. (2009) Stellar Dynamics in the Galactic Centre: Proper Motions and Anisotropy. ArXiv:astro-ph/0001428v1
[13] 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).
[14] Zel’dovich, Ya.B., Sazhin, M.V. and Dolgov, A.D. (1990) Early Universe Cosmology. Moscow State University, Moscow.
[15] Chandrasekhar, S. (1969) Ellipsoidal Figures of Equilibrium. Yale University Press, Dover.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.