Using Dimensional Analysis to Construct Multiple-Scalar-Vector-Tensor Cosmological Field Theories

TL;DR

This paper explores the construction of scalar-vector-tensor cosmological theories using dimensional analysis, identifying promising models with minimal arbitrary parameters and second-order field equations.

Contribution

It introduces a new method to develop dimensionally consistent scalar-vector-tensor theories with no arbitrary functions, focusing on models with five scalar fields.

Findings

A scalar-vector-tensor theory with five scalar fields is promising for cosmology.

Theories constructed are free of dimensioned constants and yield second-order equations.

A general class of such theories is formulated based on dimensional analysis.

Abstract

In this paper I shall consider various possible scalar-vector-tensor field theories which might be used to describe the Universe. After imposing numerous constraints of a physical and mathematical nature on the theories under consideration, we shall see that there still exists a plethora of viable theories from which to choose. But hopefully I shall be able to convince you that a scalar-vector-tensor field theory involving five scalar fields provides a promising cosmological model. The advantage of this theory is that there is no energy-momentum tensor for the matter fields, nor arbitrary functions, only dimensionless constants, that need to be determined. I shall also construct the most general multiple-scalar-vector-tensor field theory which is dimensionally consistent and free of dimensioned constants. It turns out that this field theory yields second-order field equations.