21 citations · 30 across the 15 of their papers we have counts for
15 papers
Second-Order Bi-Scalar-Vector-Tensor Field Equations Compatible with Conservation of Charge in a Space of Four-Dimensions
Gregory W. Horndeski
The purpose of this paper is to explore, in a space of four-dimensions, the possible forms that second-order, bi-scalar-vector-tensor field equations derivable from a variational p…
Second-Order Bi-Scalar-Tensor Field Equations in a Space of Four-Dimensions
Gregory W. Horndeski
Lagrange scalar densities which are concomitants of two scalar fields, a pseudo-Riemannian metric tensor, and their derivatives of arbitrary differential order are investigated in…
50 Years of Horndeski Gravity: Past, Present and Future
Gregory Horndeski, Alessandra Silvestri
An essay on Horndeski gravity, how it was formulated in the early 1970s and how it was 're-discovered' and widely adopted by Cosmologists more than thirty years later.
The Multiverse and Cosmic Procreation via Cofinsler Spaces -- or -- Being and Nothingness
Gregory W. Horndeski
In this paper I shall consider a scalar-scalar field theory with scalar field phi on a four-dimensional manifold M, and a Lorentzian Cofinsler function f on T*M. A particularly sim…
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…
Conformally Invariant Vector-Tensor Field Theories Consistent with Conservation of Charge in a Four-Dimensional Space
Gregory W. Horndeski
In this paper I shall construct, in a four-dimensional space, all vector-tensor field theories that are conformally invariant, consistent with conservation of charge, and flat spac…
Conformally Invariant Scalar-Tensor Field Theories in a Four-Dimensional Space
Gregory W. Horndeski
In a four-dimensional space, I shall construct all of the conformally invariant scalar-tensor field theories, which are flat space compatible; i.e., well-defined and differentiable…
Lagrange Multipliers and Third Order Scalar-Tensor Field Theories
Gregory W. Horndeski
In a space of 4-dimensions, I will examine constrained variational problems in which the Lagrangian, and constraint scalar density, are concomitants of a (pseudo-Riemannian) metric…
The Relationship Between Inertial and Gravitational Mass
Gregory W. Horndeski
I will argue that the inertial mass is greater than the gravitational mass for all objects which are held together primarily by gravitational forces. Thus, for celestial objects, l…
A Simple Theory of Quantum Gravity
Gregory W. Horndeski
A novel theory of Quantum Gravity is presented in which the real gravitons manifest themselves as holes in space. In general, these holes propagate at the speed of light through an…