Multimetric extension of the PPN formalism: experimental consistency of repulsive gravity

Abstract

Recently we discussed a multimetric gravity theory containing several copies of standard model matter each of which couples to its own metric tensor. This construction contained dark matter sectors interacting repulsively with the visible matter sector, and was shown to lead to cosmological late-time acceleration. In order to test the theory with high-precision experiments within the solar system we here construct a simple extension of the parametrized post-Newtonian (PPN) formalism for multimetric gravitational backgrounds. We show that a simplified version of this extended formalism allows the computation of a subset of the PPN parameters from the linearized field equations. Applying the simplified formalism we find that the PPN parameters of our theory do not agree with the observed values, but we are able to improve the theory so that it becomes consistent with experiments of post-Newtonian gravity and still features its promising cosmological properties.

arXiv comment19 pages, no figures, journal version

References in corpus (15)

• f(R) Theories Of Gravity
• 4D Gravity on a Brane in 5D Minkowski Space
• The Confrontation between General Relativity and Experiment
• Relativistic gravitation theory for the MOND paradigm
• Solar System constraints to general f(R) gravity
• The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
• Solar System experiments do not yet veto modified gravity models
• Solar system constraints on f(G) gravity models
• Area metric gravity and accelerating cosmology
• Geometry for the accelerating universe
• Solar system constraints on the Dvali-Gabadadze-Porrati braneworld theory of gravity
• No-go theorem for bimetric gravity with positive and negative mass
• Classical limit of quantum gravity in an accelerating universe
• Repulsive gravity model for dark energy
• Brans-Dicke geometry

Cited by in corpus (6)

• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Gauge-invariant approach to the parametrized post-Newtonian formalism
• Parameterized post-Newtonian formalism for multimetric gravity
• xPPN: An implementation of the parametrized post-Newtonian formalism using xAct for Mathematica
• Propagation of gravitational waves in multimetric gravity
• Repulsive gravity induced by a conformally coupled scalar field implies a bouncing radiation-dominated universe