Unified Lagrangian for Canonical and Non-Canonical Scalar Field

Abstract

We proposed a generalized Lagrangian for three different classes of scalar fields namely quintessence($\alpha =-1$), phantom($\alpha =0$), and tachyonic ($\alpha =1$) parameterized by $\alpha$. These three scalar fields can be described by a common single Lagrangian called generalized scalar field Lagrangian and corresponding scalar field termed as generalized scalar field. We obtain mathematically consistent forms of generalized equations of motion from which individual equations of motion of quintessence, phantom, and tachyon can be recovered.

The work is undergoing significant updates that will materially change its results, conclusions, or structure. After further review, the authors identified fundamental issues in the data, methodology, or interpretation that compromise the validity of the findings