Analytic solutions for the energy density and the temperature of the QGP in the early Universe

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Journal of Multidisciplinary Modeling and Optimization
Volume:2 Issue:2
Analytic solutions for the energy density and the temperature of the QGP in the early Universe

Analytic solutions for the energy density and the temperature of the QGP in the early Universe

Authors : Gaber FAİSEL, Amr Abd Alrahman YOUSSEF, Hamid ALZAKI

Pages : 52-58

View : 23 | Download : 4

Publication Date : 2020-02-24

Article Type : Research Paper

Abstract :After the Big Bang and at a time estimated to be a millionth of a second, the Universe was in a phase that filled with quark-gluon plasma. Due to the high temperature, the strong coupling constant that describes the strength of the strong force acting on the quarks and the gluons, was so small. As a result, quarks and gluons inside the plasma behaved as an ideal gas of gluons and massless quarks that weakly interact with each others. Hence, one can describe the characteristics of the plasma by the equations of states which relate energy density and pressure to its temperature as in the MIT bag model. Having these equations of states, one can solve Friedmann equations of the general relativity. In this work, we derive the analytic solutions for the Friedmann differential equations governing the time evolution of the energy density and the temperature of the quark-gluon plasma in that era of the early Universe adopting the MIT bag model.
Keywords : quark gluon plasma, Early Universe

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