1 citations · 2 across the 5 of their papers we have counts for
9 papers
Second-Order, Biconformally Invariant Scalar-Tensor Field Theories in a Four-Dimensional Space
Gregory W. Horndeski
In this paper I shall consider field theories in a space of four-dimensions which have field variables consisting of the components of a metric tensor and scalar field. The field e…
Reformulating Scalar-Tensor Field Theories as Scalar-Scalar Field Theories Using a Novel Geometry
Gregory W. Horndeski
In this paper I shall show how the notions of Finsler geometry can be used to construct a similar geometry using a scalar field, f, on the cotangent bundle of a differentiable mani…
The Hidden Scalar Lagrangians within Horndeski Theory
Gregory W. Horndeski
In this essay I show that there exists a new way to obtain scalar-tensor field theories by combining a special scalar field on the tangent bundle of a four-dimensional manifold wit…
Reformulating Scalar-Tensor Field Theories as Scalar-Scalar Field Theories Using Lorentzian Cofinsler Spaces
Gregory W. Horndeski
In this paper I shall show how notions of Finsler geometry can be used to construct a new type of geometry using a scalar field, f, on the cotangent bundle of a differentiable mani…
Using Dimensional Analysis to Construct Multiple-Scalar-Vector-Tensor Cosmological Field Theories
Gregory W. Horndeski
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…
Conformally Invariant Scalar-Vector-Tensor Field Theories Consistent with Conservation of Charge in a Four-Dimensional Space
Gregory W. Horndeski
In a four-dimensional space I shall construct all of the conformally invariant, scalar-vector-tensor field theories that are consistent with conservation of charge, and flat space…