American Journal of Astronomy and Astrophysics

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An Analytical Estimate of the Hubble Constant

Received: 19 March 2015    Accepted: 31 March 2015    Published: 27 April 2015
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Abstract

Currently the present-time value of the Hubble constant is estimated through finding the optimum fit to the observationally measured data. Here, assuming a flat universe with zero cosmological constant, based on the conservation of total mass-energy and a correction for the effect of time dilation, the total present-time value of the energy density parameter is found to be equal to 0.703091. Based on the Friedmann-Robertson-Walker (FRW) equation, the first law of thermodynamics, and Einstein’s Equivalence Principle, we present an analytical approach which yields a value for the Hubble constant equal to H_0=69.05398 km s^(-1) 〖Mpc〗^(-1). Using this value, Hubble diagrams are constructed. These diagrams are remarkably consistent with the available observational data.

DOI 10.11648/j.ajaa.20150303.13
Published in American Journal of Astronomy and Astrophysics (Volume 3, Issue 3, May 2015)
Page(s) 44-49
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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

Hubble Constant, Density Parameter, Distances and Redshift, Expanding Universe

References
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[6] P. A. R. Ade, N. Aghanim, M. I. R. Alves, C. , Armitage-Caplan, M. Amaud, M. Ashdown, et al., “Planck 2013 Results, I. Overview of Products and Scientific Results,” http://arxiv.org/abs/1303.5062 v2, pp. 1-49 (2013).
[7] C. L. Bennett, D. Larson, J. L. Weiland, N. Jarosik, G. Hinshaw, N. Odegard, et al., “Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Maps and Results,” Astrophysical Journal Supplement Series, 208:20, pp. 1-54 (2013).
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[13] S. Perlmutter, “Nobel Lecture: Measuring the Acceleration of the Cosmic Expansion Using Supernovae,” Reviews of Modern Physics, Vol. 84, pp. 1127-1149, (2012).
[14] S. Perlmutter, G. Aldering, G. Goldhaber, R. A. Knop, P. Nugent, P. G. Castro, et al. “Measurements of Ω and Λ From 42 High-Redshift Supernovae,” The Astrophysical Journal, 517:565-586, (1999).
[15] P. J. E. Peebles, Principles of Physical Cosmology, Princeton University Press1993, pp. 321.
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Author Information
  • Dept. of Civil Engineering, University of Toledo, Ohio, USA

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    Naser Mostaghel. (2015). An Analytical Estimate of the Hubble Constant. American Journal of Astronomy and Astrophysics, 3(3), 44-49. https://doi.org/10.11648/j.ajaa.20150303.13

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    Naser Mostaghel. An Analytical Estimate of the Hubble Constant. Am. J. Astron. Astrophys. 2015, 3(3), 44-49. doi: 10.11648/j.ajaa.20150303.13

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    Naser Mostaghel. An Analytical Estimate of the Hubble Constant. Am J Astron Astrophys. 2015;3(3):44-49. doi: 10.11648/j.ajaa.20150303.13

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  • @article{10.11648/j.ajaa.20150303.13,
      author = {Naser Mostaghel},
      title = {An Analytical Estimate of the Hubble Constant},
      journal = {American Journal of Astronomy and Astrophysics},
      volume = {3},
      number = {3},
      pages = {44-49},
      doi = {10.11648/j.ajaa.20150303.13},
      url = {https://doi.org/10.11648/j.ajaa.20150303.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajaa.20150303.13},
      abstract = {Currently the present-time value of the Hubble constant is estimated through finding the optimum fit to the observationally measured data. Here, assuming a flat universe with zero cosmological constant, based on the conservation of total mass-energy and a correction for the effect of time dilation, the total present-time value of the energy density parameter is found to be equal to 0.703091. Based on the Friedmann-Robertson-Walker (FRW) equation, the first law of thermodynamics, and Einstein’s Equivalence Principle, we present an analytical approach which yields a value for the Hubble constant equal to H_0=69.05398 km s^(-1)  〖Mpc〗^(-1). Using this value, Hubble diagrams are constructed. These diagrams are remarkably consistent with the available observational data.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - An Analytical Estimate of the Hubble Constant
    AU  - Naser Mostaghel
    Y1  - 2015/04/27
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ajaa.20150303.13
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    T2  - American Journal of Astronomy and Astrophysics
    JF  - American Journal of Astronomy and Astrophysics
    JO  - American Journal of Astronomy and Astrophysics
    SP  - 44
    EP  - 49
    PB  - Science Publishing Group
    SN  - 2376-4686
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    AB  - Currently the present-time value of the Hubble constant is estimated through finding the optimum fit to the observationally measured data. Here, assuming a flat universe with zero cosmological constant, based on the conservation of total mass-energy and a correction for the effect of time dilation, the total present-time value of the energy density parameter is found to be equal to 0.703091. Based on the Friedmann-Robertson-Walker (FRW) equation, the first law of thermodynamics, and Einstein’s Equivalence Principle, we present an analytical approach which yields a value for the Hubble constant equal to H_0=69.05398 km s^(-1)  〖Mpc〗^(-1). Using this value, Hubble diagrams are constructed. These diagrams are remarkably consistent with the available observational data.
    VL  - 3
    IS  - 3
    ER  - 

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