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Anisotropic Cosmological Models with MacCallum Parameter

Received: 18 December 2013     Published: 20 February 2014
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Abstract

In this paper, we have presented two anisotropic cosmological models, of which the former being T-model is homogeneous and the latter being non T-model is inhomogeneous. We have constructed formula for all the physical and kinematical quantities and established relations among them. Equations of state are constructed. Both these solutions can be applied to all the epochs of the universe for which ξ ϵ [0,1)-{1/2}, where the quantity ξ is a MacCallum parameter and describes the anisotropy of the 4-dimensional space-time. It is explicitly shown that the T-model presented here is more general solution in the sense that it includes the one given by McVitte and Wilt-shire.

Published in American Journal of Astronomy and Astrophysics (Volume 2, Issue 1)
DOI 10.11648/j.ajaa.20140201.11
Page(s) 1-5
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Cosmological Models, Anisotropy, Homogeneity, MacCallum Parameter

References
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[5] R. Kantowski and R. K. Sachs’, Journal of Mathematical Physics, Vol. 7, 1966, p.443.
[6] M. A. H. MacCallum, In: V. D. Sabbata, ed., the origin and evolution of galaxies, World Scientific Pub. Co., 1982.
[7] J. Krishna Rao, et al., Mathematics Today, Vol. 16, 1998, p. 25.
[8] K. Purnachandra Rao, Mathematics Today, Vol. 17, 1999, p. 29.
[9] K. Purnachandra Rao, Mathematics Today, Vol. 21, 2005, p. 31.
[10] K. Purnachandra Rao, Mathematics Today, Vol. 24, 2008, p. 17.
[11] K. Purnachandra Rao, Mathematics Today, Vol. 27, 2011, p. 54.
[12] K. Purnachandra Rao, Journal of Modern Physics, Vol. 4, 2013, pp. 1194-1199. http://dx.doi.org/10.4236/jmp.2013.49162
[13] J. Krishna Rao, Journal of the Institute of Mathematics, vol. 51, 1995, p. 57.
[14] J. Krishna Rao, Current Science, Vol. 35, 1966, p.389.
[15] J. Krishna Rao, General Relativity and Gravitation, Vol. 2, 1971, pp. 385-386. http://dx.doi.org/10.1007/BF00758157
[16] J. Krishna Rao, Journal of Physics (London), Vol. A5, 1972, p. 479.
[17] J. Krishna Rao, General Relativity and Gravitation, Vol. 2, 1973, p. 351. doi: 10.1007/BF00771004
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[19] J. Krishna Rao and M. Annapurna, Pramana: Journal of Physics, Vol. 27, 1986, p. 637.
[20] J. Krishna Rao and M. Annapurna, Pramana: Journal of Physics, Vol. 38, 1992, p. 21.
[21] A. K. Raychaudhri, Physical Review, Vol. 98, 1955, pp. 1123-1126. doi:10.1103/PhysRev.98.1123
[22] I. D. Novikov, Sov. Astron. A. J., Vol. 7, 1964, p.587.
[23] V. A. Ruban, Sov. Phys. JEPT Lett. Vol. 8, 1968, p. 414.
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[25] V. A. Ruban, Sov. Phys. JEPT Lett. Vol. 58, 1983, p. 463.
[26] G. C. McVitte and R. J. Wilt-shire, Int. J. Theor. Phys. Vol. 14, 1975, p. 145.
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    Purnachandra Rao Koya. (2014). Anisotropic Cosmological Models with MacCallum Parameter. American Journal of Astronomy and Astrophysics, 2(1), 1-5. https://doi.org/10.11648/j.ajaa.20140201.11

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    ACS Style

    Purnachandra Rao Koya. Anisotropic Cosmological Models with MacCallum Parameter. Am. J. Astron. Astrophys. 2014, 2(1), 1-5. doi: 10.11648/j.ajaa.20140201.11

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    AMA Style

    Purnachandra Rao Koya. Anisotropic Cosmological Models with MacCallum Parameter. Am J Astron Astrophys. 2014;2(1):1-5. doi: 10.11648/j.ajaa.20140201.11

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  • @article{10.11648/j.ajaa.20140201.11,
      author = {Purnachandra Rao Koya},
      title = {Anisotropic Cosmological Models with MacCallum Parameter},
      journal = {American Journal of Astronomy and Astrophysics},
      volume = {2},
      number = {1},
      pages = {1-5},
      doi = {10.11648/j.ajaa.20140201.11},
      url = {https://doi.org/10.11648/j.ajaa.20140201.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20140201.11},
      abstract = {In this paper, we have presented two anisotropic cosmological models, of which the former being T-model is homogeneous and the latter being non T-model is inhomogeneous. We have constructed formula for all the physical and kinematical quantities and established relations among them. Equations of state are constructed. Both these solutions can be applied to all the epochs of the universe for which  ξ ϵ [0,1)-{1/2}, where the quantity ξ is a MacCallum parameter and describes the anisotropy of the 4-dimensional space-time. It is explicitly shown that the T-model presented here is more general solution in the sense that it includes the one given by McVitte and Wilt-shire.},
     year = {2014}
    }
    

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  • TY  - JOUR
    T1  - Anisotropic Cosmological Models with MacCallum Parameter
    AU  - Purnachandra Rao Koya
    Y1  - 2014/02/20
    PY  - 2014
    N1  - https://doi.org/10.11648/j.ajaa.20140201.11
    DO  - 10.11648/j.ajaa.20140201.11
    T2  - American Journal of Astronomy and Astrophysics
    JF  - American Journal of Astronomy and Astrophysics
    JO  - American Journal of Astronomy and Astrophysics
    SP  - 1
    EP  - 5
    PB  - Science Publishing Group
    SN  - 2376-4686
    UR  - https://doi.org/10.11648/j.ajaa.20140201.11
    AB  - In this paper, we have presented two anisotropic cosmological models, of which the former being T-model is homogeneous and the latter being non T-model is inhomogeneous. We have constructed formula for all the physical and kinematical quantities and established relations among them. Equations of state are constructed. Both these solutions can be applied to all the epochs of the universe for which  ξ ϵ [0,1)-{1/2}, where the quantity ξ is a MacCallum parameter and describes the anisotropy of the 4-dimensional space-time. It is explicitly shown that the T-model presented here is more general solution in the sense that it includes the one given by McVitte and Wilt-shire.
    VL  - 2
    IS  - 1
    ER  - 

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Author Information
  • School of Mathematical & Statistical Sciences, Hawassa University, P. O. Box – 5, Hawassa, Ethiopia

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