Validation of the Weak Equivalence Principle in a Spatially-Vsl Gravitation Model

Details Validation of the Weak Equivalence Principle in a Spatially-Vsl Gravitation Model Validation of the Weak Equivalence Principle in a Spatially-Vsl Gravitation Model

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1281b&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Scalar-Vector Gravitation, Weak Equivalence Principle

Scientific paper

The WEP is proven to hold in a scalar-vector gravitation model with spatially variable speed of light and Lorentz-Poincaré type interpretation for the configuration of a non-stationary source.2 In this model the spatially-VSL, c(r) = c'Φ2 + W, is a coordinate velocity in contrast to the invariant velocity c', which is locally observable due to the application of the gravitationally modified Lorentz Transformations for space and time intervals.4 The Hamiltonian mechanics for particles and photons derived from the corresponding energy and momentum transformations agrees at least till 1-PN with the dynamics of General Relativity Theory.5 Now in a local inertial frame and for a non-stationary source the validity of the WEP is proven by deriving the nil relative acceleration of a locally coincident free-falling particle. This is established by adapting the derivative to incorporate the conventional procedure of localizing its arguments by means of parallel transport. This transport over a free-fall trajectory can be naturally expressed using a composition of gravitationally modified Lorentz transformations.

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