AT2 - Alternative Theories (B) |
Speaker_ |
Broekaert, Jan |
Talk _ |
Validation of the Weak Equivalence Principle in a spatially-VSL gravitation model |
Abstract _ |
The WEP is proven to hold in a scalar-vector gravitation model with spatially variable speed of light and Lorentz-Poincar\'e type interpretation [1]. In this model the spatially-VSL, $c(r) = c' \Phi^2$, 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 [2]. 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 [3]. Now in a local inertial frame 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 \emph{parallel transport}. This transport over a free-fall trajectory can be naturally expressed using a composition of gravitationally modified Lorentz transformations. References: [1] gr-qc/0604107 [2] Found Phys, 35, 839 (2005), [3] gr-qc/0405015 |