Cosmic acceleration in a model of scalar-tensor gravitation

Details Cosmic acceleration in a model of scalar-tensor gravitation Cosmic acceleration in a model of scalar-tensor gravitation

2005-11-08

arxiv.org/abs/gr-qc/0511035v2

Int. J. Mod. Phys. D 17, (2008) 2007-2015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 2 figures, matches published version

Scientific paper

10.1142/S0218271808013674

In this paper we consider a model of scalar-tensor theory of gravitation in which the scalar field, $\phi$ determines the gravitational coupling G and has a Lagrangian of the form, $\mathcal{L}_{\phi} =-V(\phi)\sqrt{1 - \partial_{\mu}\phi\partial^{\mu}\phi}$. We study the cosmological consequence of this theory in the matter dominated era and show that this leads to a transition from an initial decelerated expansion to an accelerated expansion phase at the present epoch. Using observational constraints, we see that the effective equation of state today for the scalar field turns out to be $p_{\phi}=w_{\phi}{\rho}_{\phi}$, with $w_{\phi}=-0.88$ and that the transition to an accelerated phase happened at a redshift of about 0.3.

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