Reconstruction of Scalar Potentials in Induced Gravity and Cosmology

TL;DR

This paper presents a method to reconstruct scalar field potentials in induced gravity models that can replicate various cosmological evolutions driven by different types of fluids and gases.

Contribution

The authors introduce a new technique for reconstructing scalar potentials in induced gravity, explicitly modeling diverse cosmological scenarios.

Findings

Successfully reconstructed potentials for barotropic fluids, cosmological constant, Chaplygin gas, and modified Chaplygin gas.

Provided explicit forms of potentials that reproduce specific cosmological evolutions.

Enhanced understanding of scalar field roles in different cosmological models.

Abstract

We develop a technique for the reconstruction of the potential for a scalar field in cosmological models based on induced gravity. The potentials reproducing cosmological evolutions driven by barotropic perfect fluids, a cosmological constant, a Chaplygin gas and a modified Chaplygin gas are constructed explicitly.