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Growth Diagnostics for Dark Energy models and EUCLID forecast

2013/01/06 by Anjan A. Sen, Sampurnanand, Sen, Anjan A.
Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Space Plasma Dynamics #astro-ph.CO #gr-qc

paper · pdf · doi:10.48550/arxiv.1301.0983

Substantial Revision. EUCLID forecast included. Change in the Title. Overall conclusion remains the same

openalex publication_date 2013/01/06 · arxiv created 2013/12/23 · arxiv updated 2013/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we introduce a new set of parameters (rg, sg) involving the linear growth of matter perturbation that can distinguish and constrain different dark energy models very efficiently. Interestingly, for ΛCDM model these parameters take exact value (1,1) at all red shifts whereas for models different from ΛCDM, they follow different trajectories in the (rg, sg) phase plane. By considering the parametrization for the dark energy equation of state (w) and for the linear growth rate (fg), we show that different dark energy behaviours with similar evolution of the linear density contrast, can produce distinguishable trajectories in the (rg, sg) phase plane. Moreover, one can put stringent constraint on these phase plane using future measurements like EUCLID ruling out some of the dark energy behaviours.

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