CMB with Quintessence: Analytic Approach and CMBFAST

Astronomy and Astrophysics – Astrophysics

Scientific paper

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13 pp LaTeX and 7 postscript figures

Scientific paper

10.1142/S0217732301003097

A particular kind of quintessence is considered, with equation of motion $p_Q/\rho_Q = -1$, corresponding to a cosmological term with time-dependence $\Lambda(t) = \Lambda(t_0) (R(t_0)/R(t))^{P}$ which we examine initially for $0 \leq P < 3$. Energy conservation is imposed, as is consistency with big-bang nucleosynthesis, and the range of allowed $P$ is thereby much restricted to $0 \leq P < 0.2$. The position of the first Doppler peak is computed analytically and the result combined with analysis of high-Z supernovae to find how values of $\Omega_m$ and $\Omega_{\Lambda}$ depend on $P$. Some comparison is made to the CMBFAST public code.

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