New Developments in the Hamiltonian Formulation of the Gravitational Standard-Model Extension

TL;DR

This paper reviews the Hamiltonian formulation of the minimal gravitational Standard-Model Extension, discussing its properties, relation to Einstein equations, and consistency between covariant and Hamiltonian approaches.

Contribution

It provides a detailed analysis of the Hamiltonian formulation and its connection to the modified Einstein equations within the gravitational Standard-Model Extension.

Findings

Hamiltonian properties linked to modified Einstein equations

Consistency established between covariant and Hamiltonian formulations

Theoretical insights into CPT and Lorentz symmetry in gravity

Abstract

This chapter of the proceedings for the Ninth Meeting on CPT and Lorentz Symmetry is dedicated to the Hamiltonian formulation of the minimal gravitational Standard-Model Extension. Some theoretical questions associated with the latter shall be reviewed. First, we recall the properties of the Hamiltonian, which was computed elsewhere, and discuss how it is linked to the modified Einstein equations. Second, we describe how the covariant and Hamiltonian formulations are shown to be consistent with each other.