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Upper Limit of the Age of the Universe with Cosmological Constant

Author

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  • Mohajan, Haradhan

Abstract

The Friedmann, Robertson-Walker universe is based on the assumption that the universe is exactly homogeneous and isotropic. This model expresses that there is an all encompassing big bang singularity in the past as the origin from which the universe emerges in a very hot phase and continues its expansion as it cools. Here homogeneous and isotropic assumptions of the observed universe are not strictly followed to calculate the present age of the universe. Einstein equation plays an important role in cosmology to determine the present age of the universe. The determination of present age and density of the universe are two very important issues in cosmology, as they determine the future evolution and the nature of the universe. An attempt has been taken here to find the upper limit of the age of the universe with cosmological constant.

Suggested Citation

  • Mohajan, Haradhan, 2013. "Upper Limit of the Age of the Universe with Cosmological Constant," MPRA Paper 55597, University Library of Munich, Germany, revised 19 Oct 2013.
    • Handle: RePEc:pra:mprapa:55597
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    References listed on IDEAS

    as
    1. Mohajan, Haradhan, 2013. "Space-Time Singularities and Raychaudhuri Equations," MPRA Paper 54069, University Library of Munich, Germany, revised 10 Aug 2013.
    2. Mohajan, Haradhan, 2013. "Schwarzschild Geometry from Exact Solution of Einstein Equation," MPRA Paper 50795, University Library of Munich, Germany, revised 16 Oct 2013.
    3. Mohajan, Haradhan, 2013. "Friedmann, Robertson-Walker (FRW) Models in Cosmology," MPRA Paper 52402, University Library of Munich, Germany, revised 20 Dec 2013.
    4. Mohajan, Haradhan, 2013. "Scope of Raychaudhuri equation in cosmological gravitational focusing and space-time singularities," MPRA Paper 52544, University Library of Munich, Germany, revised 10 Dec 2013.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Mohajan, Haradhan, 2014. "Gravitational Collapse of a Massive Star and Black Hole Formation," MPRA Paper 83188, University Library of Munich, Germany, revised 10 Aug 2014.
    2. Mohajan, Haradhan, 2016. "Singularities in Global Hyperbolic Space-time Manifold," MPRA Paper 82953, University Library of Munich, Germany, revised 16 Mar 2016.

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    More about this item

    Keywords

    Einstein equation; Geodesic; Hubble constant; Spacetime manifold; Universe;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

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