The energy-momentum tensor of the Standard Model with applications to energy conditions

TL;DR

This paper derives the energy-momentum tensor of the Standard Model using geometric variational methods and examines the validity of energy conditions in general relativity.

Contribution

It introduces a geometric invariant derivation of the Standard Model's energy-momentum tensor and applies it to analyze energy conditions in gravitational theories.

Findings

Derived the energy-momentum tensor in a geometric invariant manner.

Analyzed the validity of energy conditions within the Standard Model framework.

Provided insights into the interplay between particle physics and general relativity.

Abstract

The Standard Model of elementary particle physics is one of the most successful models of contemporary physics, its predictions being in full agreement with experiments. In this manuscript we consider the Lagrangian of the Standard Model as a geometric variational problem on a globally hyperbolic manifold and derive the associated energy-momentum tensor in a geometric invariant way. As an application, we investigate the validity of various energy conditions that arise in general relativity.