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

Mayeul Arminjon (1)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]

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 test particle is defined by an extension of the special-relativistic form of Newton's second law. This determines the dynamical equation verified by the energy-momentum tensor T of a " dust " continuum, also in the presence of a non-gravitational external force. The dynamical equation for T thus obtained is assumed valid for a general continuous medium or a system of fields. When the non-gravitational force is the Lorentz force, this equation in turn determines the Maxwell equations in a gravitational field for the present theory. They are consistent with the dynamics of photons i.e. with the geometrical optics of the theory. Except for a constant gravitational field, they seem to imply some local production or destruction of electric charge. The possible amounts are yet to be assessed.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique [physics]; Physique mathématique [math-ph]

Mayeul Arminjon. On continuum dynamics and the electromagnetic field in the scalar ether theory of gravitation. 10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, Matej Pavšič, Jun 2016, Ljubljana, Slovenia. 012014 (9 p.), ⟨10.1088/1742-6596/845/1/012014⟩. ⟨hal-01390575v2⟩