An Interacting Dark Energy Model with Nonminimal Derivative Coupling in The Parameterized Post-Friedmannian Framework
Agustina Widiyani1,2, Marliana1, Azwar Sutiono1,3, Getbogi Hikmawan1, Agus Suroso1,4, and Freddy P. Zen1,4

1Theoretical Physics Laboratory, THEPI Division, Department of Physics, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung, Jl. Ganesha 10 Bandung 40132, Indonesia
2Department of Physics, Faculty of Science, Institut Teknologi Sumatera, Jl. Terusan Ryacudu, Jati Agung Lampung Selatan 35365, Indonesia
3Department of Physics, Universitas Hasanuddin, Makassar, 90425, Indonesia
4Indonesia Center for Theoretical and Mathematical Physics (ICTMP), Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10 Bandung 40132, Indonesia

Abstract

We study the parameterization of cosmological model that gravity is coupled nonminimally with derivatives of dark energy component in the form of scalar field. We follow the parameterized post-Friedmannian approach for interacting dark energy theories. We show how the big number of free functions can be reduced by limiting the certain assumptions to a few nonzero coefficients. We only consider the case that the dark sector contains at most second order in time derivatives of scalar fields and the metric. In this paper we demonstrate its use through a number of worked examples relevant to the current literature and classify models of interacting dark energy.

Keywords: cosmological, gravity, nonminimal derivative coupling, dark energy, scalar field, the Parameterized post-Friedmannian

Topic: Theoretical High Energy Physics