English

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

General Relativity and Quantum Cosmology 2018-04-02 v1

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.

Keywords

Cite

@article{arxiv.1803.11464,
  title  = {Using Dimensional Analysis to Construct Multiple-Scalar-Vector-Tensor Cosmological Field Theories},
  author = {Gregory W. Horndeski},
  journal= {arXiv preprint arXiv:1803.11464},
  year   = {2018}
}

Comments

30 pages

R2 v1 2026-06-23T01:09:48.749Z