Foundations of Physics 38 (5):409-435 (2008)

Abstract
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) approximation of General Relativity Theory (GRT). This result requires the validity of Poincaré’s Principle of Relativity, i.e. the unobservability of ‘preferred’ frame movement. Poincaré’s principle fixes the amplitude of the sweep velocity field of the moving source, or equivalently the ‘vector potential’ ξ of GRT (e.g.; S. Weinberg, Gravitation and cosmology, [1972]), and provides the correct 1-PN limit of GRT. The implementation of this principle requires acceleration transformations derived from gravitationally modified Lorentz transformations. A comparison with the acceleration transformation in GRT is done. The present scope of the model is limited to weak-field gravitation without retardation and with gravitating test particles. In conclusion the model’s merits in terms of a simpler space, time and gravitation ontology—in terms of a Lorentz-Poincaré-type interpretation—are explained (e.g. for ‘frame dragging’, ‘harmonic coordinate condition’)
Keywords Modified Lorentz transformations  Scalar–vector gravitation
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10701-008-9210-8
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,410
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Aim and Structure of Physical Theory.Pierre Maurice Marie Duhem - 1954 - Princeton: Princeton University Press.

View all 19 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Gravitation and Electromagnetism.D. Pandres - 1977 - Foundations of Physics 7 (5-6):421-430.
Quantum Superpositions of the Speed of Light.Sabine Hossenfelder - 2012 - Foundations of Physics 42 (11):1452-1468.
Vector Potential and Riemannian Space.C. Lanczos - 1974 - Foundations of Physics 4 (1):137-147.

Analytics

Added to PP index
2013-11-22

Total views
34 ( #337,408 of 2,519,701 )

Recent downloads (6 months)
3 ( #205,238 of 2,519,701 )

How can I increase my downloads?

Downloads

My notes