Anisotropic Cosmological Models with MacCallum Parameter

Purnachandra Rao Koya

doi:doi:10.11648/j.ajaa.20140201.11

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Anisotropic Cosmological Models with MacCallum Parameter

Purnachandra Rao Koya

Published in American Journal of Astronomy and Astrophysics (Volume 2, Issue 1)

Received: 18 December 2013 Accepted: 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), 2024. Published by Science Publishing Group

Keywords

Cosmological Models, Anisotropy, Homogeneity, MacCallum Parameter

References

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[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.
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[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.
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[15]	J. Krishna Rao, General Relativity and Gravitation, Vol. 2, 1971, pp. 385-386. http://dx.doi.org/10.1007/BF00758157
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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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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

Purnachandra Rao Koya

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

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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}
}

Copy | Download

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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