# Space isotropy and weak equivalence principle in a scalar theory of gravity

@article{Arminjon2006SpaceIA, title={Space isotropy and weak equivalence principle in a scalar theory of gravity}, author={Mayeul Arminjon}, journal={Brazilian Journal of Physics}, year={2006}, volume={36}, pages={177-189} }

We consider a preferred-frame bimetric theory in which the scalar gravitational field both influences the metric and has direct dynamical effects. A modified version ("v2") is built, by assuming now a locally-isotropic dilation of physically measured distances, as compared with distances evaluated with the Euclidean space metric. The dynamical equations stay unchanged: they are based on a consistent formulation of Newton's second law in a curved space-time. To obtain a local conservation…

## 17 Citations

On continuum dynamics and the electromagnetic field in the scalar ether theory of gravitation

- Physics
- 2016

Our study of aspects of a scalar ether theory of gravitation is formulated in a preferred reference frame in a four-dimensional spacetime endowed with a curved " physical " metric. The dynamics of a…

Continuum dynamics and the electromagnetic field in the scalar ether theory of gravitation

- Physics
- 2016

Abstract An alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes’ thrust. In it, the gravitational field…

Charge conservation in a gravitational field in the scalar ether theory

- Physics
- 2017

Abstract A modification of the Maxwell equations due to the presence of a gravitational field was formerly proposed for a scalar theory with a preferred reference frame. With this modification, the…

On the equations of electrodynamics in a flat or curved spacetime and a possible interaction energy

- PhysicsOpen Physics
- 2018

Abstract In this paper the independent equations of continuum electrodynamics and their quantity are investigated, beginning with the standard equations used in special and general relativity. Using…

Dirac-Type Equations in a Gravitational Field, with Vector Wave Function

- Mathematics, Physics
- 2008

An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the…

Interaction Energy of a Charged Medium and its EM Field in a Curved Spacetime

- PhysicsGeometry, Integrability and Quantization
- 2019

In the electrodynamics of special relativity (SR) or general relativity (GR), the energy tensors of the charged medium and its EM field add to give the total energy tensor that obeys the dynamical…

Diagonal Metrics of Static, Spherically Symmetric Fields: The Geodesic Equations and the Mass-Energy Relation from the Coordinate Perspective

- Physics
- 2013

The geodesic equations for the general case of diagonal metrics of static, spherically symmetric fields are calculated. The elimination of the proper time variable gives the motion equations for test…

Motion of a Test Particle According to the Scalar Ether Theory of Gravitation and Application to its Celestial Mechanics

- PhysicsZeitschrift für Naturforschung A
- 2019

Abstract The standard interpretations of special relativity (Einstein–Minkowski) and general relativity (GR) lead to a drastically changed notion of time: the eternalism or block universe theory.…

On the definition of energy for a continuum, its conservation laws, and the energy-momentum tensor

- Mathematics, Physics
- 2016

We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous medium, taking the…

A Lorentz-Poincaré Type Interpretation of the Weak Equivalence Principle

- Mathematics, Physics
- 2007

The validity of the Weak Equivalence Principle relative to a local inertial frame is detailed in a scalar-vector gravitation model with Lorentz-Poincaré type interpretation. Given the previously…

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