Canonical Form of Born-Infeld Inspired Gravity Coupled to Scalar Fields

TL;DR

This paper derives the canonical form of Born-Infeld inspired gravity coupled with scalar fields using the Faddeev-Jackiw approach, revealing a split into a General Relativity-like part and a complex matter part.

Contribution

It introduces a canonical formulation of Born-Infeld inspired gravity with scalar fields, highlighting the structural decomposition of the action.

Findings

Canonical form splits into GR-like and complex matter parts

Demonstrates the structure of Born-Infeld gravity in canonical form

Provides a foundation for further canonical analysis of such theories

Abstract

In this short note we find canonical form of Born-Infeld inspired gravity coupled to scalar fields using Faddeev-Jackiw approach. We show that canonical form of the action splits into two parts: First part has the same form as General Relativity canonical action while the matter part has complicated form as a consequence of the structure of Born-Infeld gravity action.