Abstract
In this paper, evolution of the high energy area of universe, through the scenario of 5 dimensional (5D) universe, has been studied. For this purpose, we solve Einstein equations for 5D metric and 5D perfect fluid to derive Friedmann-like equations. Then we obtain the evolution of scale factor and energy density with respect to both space-like and time-like extra dimensions. We obtain the novel equations for the space-like extra dimension and show that the matter with zero pressure cannot exist in the bulk. Also, for dark energy fluid and vacuum fluid, we have both accelerated expansion and contraction in the bulk.
Similar content being viewed by others
References
Friedmann, A.Z.: Physik 10, 377 (1922)
Robertson, H.P.: Astrophys. J. 82, 284 (1935)
Walker, A.G.: Proc. Lond. Math. Soc. 42(2), 90 (1936)
Carroll, S.M.: An Introduction to General Relativity: Spacetime and Geometry. Addison Wesley, Reading (2004)
Srivastava, S.K.: General Relativity and Cosmology (2008). PHI
Gamow, G.: Nature 162, 680 (1948)
Manning, H.P.: The Fourth Dimension Simply Explained. Dover, New York (1910)
Kaluza, T.: Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) K 1, 966 (1921)
Klien, O.: Z. Phys. 37, 895 (1926)
Witten, E.: Phys. Lett. B 144, 351 (1984)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Perlmutter, S.: Astrophys. J. 517, 565 (1999)
Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)
Gu, J.A.: arXiv:astro-ph/0209223
Chatterjee, S.: A simple accelerating model; of the universe in higher dimensional space-time. In: Chen, P., et al. (eds.) 22nd Texas Symp. on Relativistic Astrophysics at Stanford University, 13–17 December 2004. Stanford University Publication, Stanford (2004)
Gu, J.A., Hwang, W.Y.P.: Phys. Rev. D 66, 024003 (2002)
Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)
Easson, D.A.: Int. J. Mod. Phys. A 19, 5343 (2004)
Arkani-Hamed, N., Dimopolos, S., Dvali, G.: Phys. Lett. B 429, 263 (1998)
Arkani-Hamed, N., Dimopolos, S., Dvali, G.: Phys. Rev. D 59, 086004 (1999)
Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 3370 (1999)
Bringmann, T., Ericksson, M.: J. Cosmol. Astropart. Phys. 10, 1 (2003)
Gu, J.A., Hwang, W.Y.P., Tsai, J.W.: arXiv:astro-ph/0403641
Ohta, N.: arXiv:hep-th/0411230
Purohit, K.D., Bhatty, Y.: Int. J. Mod. Phys. A 23, 909–917 (2008)
Tiwari, R.K., Rahaman, F., Ray, S.: Int. J. Theor. Phys. 49, 2348–2357 (2010)
Yusofi, E., Mohsenzadeh, M.: Int. J. Theor. Phys. 49, 1556–1561 (2010)
Mohsenzadeh, M., Yusofi, E.: Int. J. Theor. Phys. 50, 430–435 (2011)
Linde, A.: Particles Physics and Inationary Cosmology. Harwood Academic, Reading (1991)
Liddle, A.R.: An introduction to cosmological ination. arXiv:astro-ph/9901124v1 (1999)
Afonso, V.I., Bazeia, D., Menezes, R., Petrov, A.Yu.: Phys. Lett. B 658, 71–76 (2007). arXiv:0710.3790 [hep-th]
Nozari, K., Mehdipour, S.H.: Int. J. Mod. Phys. A 21, 4979–4992 (2006)
Acknowledgements
This work has been supported by the Islamic Azad University, Ayatollah Amoli Branch, Amol, Iran.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yusofi, E., Mohsenzadeh, M. Friedmann-Like Equations for High Energy Area of Universe. Int J Theor Phys 51, 3567–3574 (2012). https://doi.org/10.1007/s10773-012-1243-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-012-1243-2