Noether Symmetry Approach in Eddington-inspired Born-Infeld gravity

TL;DR

This paper applies the Noether symmetry approach to Eddington-inspired Born-Infeld gravity, deriving the point-like Lagrangian and identifying de Sitter solutions, thus providing insights into the symmetry structure of this modified gravity theory.

Contribution

It introduces a Noether symmetry framework to analyze EiBI gravity, deriving the Lagrangian and exploring its solutions, which is a novel application in this context.

Findings

Existence of de Sitter solutions in EiBI gravity

Derivation of the point-like Lagrangian using NGS

Identification of symmetry properties in EiBI theory

Abstract

In this work, we take a short recap of a formal framework of the Eddington-inspired Born-Infeld (EiBI) theory of gravity and derive the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries (NGS). We study a Hessian matrix and quantify Euler-Lagrange equations of EiBI universe. We discuss the NGS approach for the Eddington-inspired Born-Infeld theory and show that there exists the de Sitter solution in this gravity model.