Massive motion in Brans-Dicke geometry and beyond

Abstract

Gravity theories that can be viewed as dynamics for area metric manifolds, for which Brans-Dicke theory presents a recently studied example, require for their physical interpretation the identification of the distinguished curves that serve as the trajectories of light and massive matter. Complementing previous results on the propagation of light, we study effective massive point particle motion. We show that the relevant geometrical structure is a special Finsler norm determined by the area metric, and that massive point particles follow Finsler geodesics.

12 pages

References in corpus (8)

• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Propagation of light in area metric backgrounds
• "Detuned" f(R) gravity and dark energy
• Non-metric gravity: A status report
• Geometry for the accelerating universe
• Radiation-dominated area metric cosmology
• Brans-Dicke geometry

Cited by in corpus (5)

• Finsler gravity action from variational completion
• Emergent Models for Gravity: an Overview of Microscopic Models
• Causal structure and algebraic classification of area metric spacetimes in four dimensions
• Geometry of Area Without Length
• Loop Special Relativity: Kaluza-Klein area metric as a line element for stringy events