Correlation of structure growth index with current cosmic acceleration: Constraints on dark energy models

Author:

Panotopoulos G.12ORCID,Barnert G.3,Campusano L. E.3

Affiliation:

1. Centro de Astrofísica e Gravitação (CENTRA), Instituto Superior Técnico (IST), Universidade de Lisboa (UL), Avenida Rovisco Pais, 1049-001 Lisbon, Portugal

2. Departamento de Ciencias Físicas, Universidad de la Frontera, Casilla 54-D, 4811186 Temuco, Chile

3. Departamento de Astronomía, Facultad de Ciencias, Físicas y Matemáticas (FCFM), Universidad de Chile, Camino El Observatorio 1515, Las Condes, Santiago, Chile

Abstract

We study dynamical dark energy (DE) models within Einstein’s theory by means of matter perturbations and the growth index [Formula: see text]. Within four-dimensional General Relativity, we assume that DE does not cluster, and we adopt a linear ansatz for the growth index to investigate its impact on the deceleration parameter, [Formula: see text], and on the DE equation-of-state parameter, [Formula: see text]. Following this approach, we identify a relationship between [Formula: see text] (today’s value of [Formula: see text]) and [Formula: see text], which to the best of our knowledge is new. For [Formula: see text], we find that in most of the cases considered it crosses the [Formula: see text] line (quintom) ending at a present day value [Formula: see text]. Furthermore, we show that an analytic expression for [Formula: see text] may be obtained in the form of order (4,4) (or higher) Padé parametrizations.

Funder

Center for Astrophysics and Gravitation -- CENTRA, Instituto Superior Técnico, Universidade de Lisboa

Publisher

World Scientific Pub Co Pte Ltd

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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