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A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ

Received: 30 August 2015     Accepted: 17 September 2015     Published: 29 September 2015
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Abstract

In this paper discussing about the mathematical aspect of variables such as cosmological constant (Λ) and gravitational constant (G) under some suitable assumptions, G(t)=F exp(3Hγt) (where is constant and γ is equation of state parameter), and the cosmological constant. Λ∞t-2 The exact solutions for the field equations and discuss some physical properties of the cosmological model. An expanding universe is found by using a relation between Friedmann equation and an equation of state. The cosmological constant has been involved on several occasions to correct some seemingly real difficulty with the cosmological predictions of standard general relativity. The most notable of these where its initial use by Einstein to produce static universe. The physical situation regarding is unclear. The other cosmological parameters Hubble constant (H), the density parameter (ρ), Gravitational constant (G) etc, may not constant at all. In this work emphasize to investigate these constants vary with time.

Published in International Journal of Astrophysics and Space Science (Volume 3, Issue 5)
DOI 10.11648/j.ijass.20150305.12
Page(s) 74-77
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), 2015. Published by Science Publishing Group

Keywords

Friedmann Model, Cosmological Constant, Inflation, Hubble Parameter

References
[1] Novello, M., and Arauju, R. A. (1980). Phys. Rev. D22, 260.
[2] Berman, M. S. (1991). Gen. Rel. Grav.23, 456.
[3] Barrow, J. D. (1988).Nucl.Phys.B310, 743.
[4] Pimentel, L. O. (1987).Astrophysics. Space Sci. 166, 387.
[5] Sistero, M. S. (1991). Gen. Rel. Grav.23, 1265.
[6] Abdel Rahaman, A. M. M. (1990). Gen. Rel. Grav. 22,655.
[7] Maharaj, S. D.m, and Naido, R. (1993).Astrophysics. Space Sci. 208,261.
[8] Klimek, Z. (1976). Nuovo Cimento B35, 249.
[9] Kalligas, D., Wesson, P., and Everitt, C. W. (1992). Gen. Rel. Grav. 24,351.
[10] Beesham,A.(1993)Phys.Rev. D48, 3539.
[11] Islam, J. N.: 2002, An introduction to Mathematical Cosmology, Cambridge Univ. press, Cambridge.
[12] Islam, A .S. M. M.: 2015, “Studies on Friedmann model and Cosmological constant”, M.Phil thesis, Jamal Nazrul Islam Research center for Mathematical sciences, University of Chittagong.
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  • APA Style

    A. S. M. Mohiul Islam, Abul Kalam Azad. (2015). A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ. International Journal of Astrophysics and Space Science, 3(5), 74-77. https://doi.org/10.11648/j.ijass.20150305.12

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    ACS Style

    A. S. M. Mohiul Islam; Abul Kalam Azad. A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ. Int. J. Astrophys. Space Sci. 2015, 3(5), 74-77. doi: 10.11648/j.ijass.20150305.12

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    AMA Style

    A. S. M. Mohiul Islam, Abul Kalam Azad. A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ. Int J Astrophys Space Sci. 2015;3(5):74-77. doi: 10.11648/j.ijass.20150305.12

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  • @article{10.11648/j.ijass.20150305.12,
      author = {A. S. M. Mohiul Islam and Abul Kalam Azad},
      title = {A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {3},
      number = {5},
      pages = {74-77},
      doi = {10.11648/j.ijass.20150305.12},
      url = {https://doi.org/10.11648/j.ijass.20150305.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20150305.12},
      abstract = {In this paper discussing about the mathematical aspect of variables such as cosmological constant (Λ) and gravitational constant (G) under some suitable assumptions, G(t)=F exp(3Hγt) (where  is constant and γ is equation of state parameter), and the cosmological constant. Λ∞t-2 The exact solutions for the field equations and discuss some physical properties of the cosmological model. An expanding universe is found by using a relation between Friedmann equation and an equation of state. The cosmological constant has been involved on several occasions to correct some seemingly real difficulty with the cosmological predictions of standard general relativity. The most notable of these where its initial use by Einstein to produce static universe. The physical situation regarding   is unclear. The other cosmological parameters Hubble constant (H), the density parameter (ρ), Gravitational constant (G) etc, may not constant at all. In this work emphasize to investigate these constants vary with time.},
     year = {2015}
    }
    

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    T1  - A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ
    AU  - A. S. M. Mohiul Islam
    AU  - Abul Kalam Azad
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    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijass.20150305.12
    AB  - In this paper discussing about the mathematical aspect of variables such as cosmological constant (Λ) and gravitational constant (G) under some suitable assumptions, G(t)=F exp(3Hγt) (where  is constant and γ is equation of state parameter), and the cosmological constant. Λ∞t-2 The exact solutions for the field equations and discuss some physical properties of the cosmological model. An expanding universe is found by using a relation between Friedmann equation and an equation of state. The cosmological constant has been involved on several occasions to correct some seemingly real difficulty with the cosmological predictions of standard general relativity. The most notable of these where its initial use by Einstein to produce static universe. The physical situation regarding   is unclear. The other cosmological parameters Hubble constant (H), the density parameter (ρ), Gravitational constant (G) etc, may not constant at all. In this work emphasize to investigate these constants vary with time.
    VL  - 3
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Author Information
  • Department of Mathematics, University of Chittagong, Chittagong, Bangladesh

  • Department of Mathematics, University of Chittagong, Chittagong, Bangladesh

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