Hamiltonian Formalism for Nonlocal Gravity Models

TL;DR

This paper develops a Hamiltonian formalism for nonlocal gravity models inspired by infrared corrections, enabling analysis of their degrees of freedom and contributing to understanding their role in cosmic acceleration.

Contribution

It introduces a Hamiltonian framework for quadratic nonlocal gravity models, facilitating the study of their dynamical properties and degrees of freedom.

Findings

Hamiltonian formalism for nonlocal gravity models is established.

Degree of freedom counting method is demonstrated.

Framework aids in analyzing nonlocal gravity's role in cosmic acceleration.

Abstract

Nonlocal gravity models are constructed to explain the current acceleration of the universe. These models are inspired by the infrared correction appearing in Einstein Hilbert action. Here we develop the Hamiltonian formalism of a nonlocal model by considering only terms to quadratic order in Ricci tensor and Ricci scalar. We also show how to count the degree of freedom using Hamiltonian formalism in this model.