# A Spatially-VSL Gravity Model with 1-PN Limit of GRT

@article{Broekaert2004ASG, title={A Spatially-VSL Gravity Model with 1-PN Limit of GRT}, author={Jan Broekaert}, journal={Foundations of Physics}, year={2004}, volume={38}, pages={409-435} }

In the static field configuration, a spatially-Variable Speed of Light (VSL) scalar gravity model with Lorentz-Poincaré interpretation was shown to reproduce the phenomenology implied by the Schwarzschild metric. In the present development, we effectively cover configurations with source kinematics due to an induced sweep velocity field w. The scalar-vector model now provides a Hamiltonian description for particles and photons in full accordance with the first Post-Newtonian (1-PN…

## 16 Citations

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## References

SHOWING 1-10 OF 187 REFERENCES

A Modified Lorentz-Transformation–Based Gravity Model Confirming Basic GRT Experiments

- Physics
- 2005

Implementing Poincaré’s geometric conventionalism a scalar Lorentz-covariant gravity model is obtained based on gravitationally modified Lorentz transformations (or GMLT). The modification…

Post-Newtonian Approximation of a Scalar Theory of Gravitation and Application to Light Rays

- Physics
- 1999

A scalar, preferred-frame theory of gravitation is summarized. Space-time is endowed with both a flat metric and a curved, "physical" metric. Motion is governed by a natural extension of Newton's…

A scalar Euclidean theory of gravitation: motion in a static spherically symmetric field

- Physics
- 1990

AbstractThe motion of a particle in a static, spherically symmetric gravitational field is investigated in Euclidean space. The gravitational effects are described as due to a scalar field: To every…

An alternative approach to the theory of gravitation

- Physics
- 1961

In constructing a theory of gravitation using a massless tensor field and observing all axioms of field theory one meets many similarities to electrodynamics. The field equations require a conserved…

Gravitation field theory in flat space (in the presence of an electromagnetic field) with the most general stress tensor: Equivalence with Einstein's theory

- Physics
- 1975

Gravitational field equations and equations of motion for charged particles are obtained by an iterative method, starting from a Lagrangian density in the ''unrenormalized'' flat space-time. Assuming…

A "Lorentz-Poincaré" - Type Interpretation of Relativistic Gravitation

- Physics
- 2005

The nature of 'time', 'space' and 'reality' are to large extent dependent on our interpretation of Special (SRT) and General Relativity Theory (GRT). In SRT essentially two distinct interpretations…

The static spacetime relative acceleration for general free fall and its possible experimental test

- Physics
- 1998

Mishra has recently established, using a generic static metric, the relative local proper time 3-acceleration of a test particle in one-dimensional free fall relative to a static reference frame in…

New two-metric theory of gravity with prior geometry

- Physics
- 1973

We present a Lagrangian-based metric theory of gravity with three adjustable constants and two tensor fields, one of which is a nondynamical "flat-space metric" $\ensuremath{\eta}$. With a suitable…

New varying speed of light theories

- Physics
- 2003

We review recent work on the possibility of a varying speed of light (VSL). We start by discussing the physical meaning of a varying-c, dispelling the myth that the constancy of c is a matter of…

Ether theory of gravitation: why and how?

- Physics
- 2008

Gravitation might make a preferred frame appear, and with it a clear space-time separation, which is needed by quantum mechanics (QM) in curved space-time. Several models of gravitation with an ether…