Redshift drift exploration for interacting dark energy

Abstract

By detecting redshift drift in the spectra of Lyman-$\alpha$ forest of distant quasars, Sandage-Loeb (SL) test directly measures the expansion of the universe, covering the "redshift desert" of $2\lesssim z\lesssim 5$. Thus this method is definitely an important supplement to the other geometric measurements and will play a crucial role in cosmological constraints. In this paper, we quantify the ability of SL test signal by a CODEX-like spectrograph for constraining interacting dark energy. Four typical interacting dark energy models are considered: (i) $Q=\gamma H{\rho }_c$, (ii) $Q=\gamma H{\rho }_{de}$, (iii) $Q=\gamma H_0{\rho }_c$, and (iv) $Q=\gamma H_0{\rho }_{de}$. The results show that for all the considered interacting dark energy models, relative to the current joint SN+BAO+CMB+$H_0$ observations, the constraints on ${\Omega }_m$ and $H_0$ would be improved by about 60\% and 30--40\%, while the constraints on $w$ and $\gamma$ would be slightly improved, with a 30-yr observation of SL test. We also explore the impact of SL test on future joint geometric observations. In this analysis, we take the model with $Q=\gamma H{\rho }_c$ as an example, and simulate future SN and BAO data based on the space-based project WFIRST. We find that in the future geometric constraints, the redshift drift observations would help break the geometric degeneracies in a meaningful way, thus the measurement precisions of ${\Omega }_m$, $H_0$, $w$, and $\gamma$ could be substantially improved using future probes.

6 pages, 5 figures; accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1407.7123

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