Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-06-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages
Scientific paper
Motivated by a nice result shown by E. Linder, a detailed discussion on the choice of the expansion parameters of the Maclaurin series for the equation of states of a perfect fluid is presented in this paper. We show that their nice recent result is in fact a linear approximation to the full Maclaurin series as a power series of the parameter $y=z/(1+z)$. The power series for the energy density function, the Hubble parameter and related physical quantities of interest are also shown in this paper. The method presented here will have significant application in the precision distance-redshift observations aiming to map out the recent expansion history of the universe. In addition, a complete analysis of all known advantageous parameterizations for the equation of states to high redshift is also presented.
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