Gravity tests in the solar system and the Pioneer anomaly

TL;DR

This paper proposes a new phenomenological framework extending Einstein's gravity to explain solar system tests and the Pioneer anomaly through generalized potentials.

Contribution

It introduces a minimal generalization of Einsteinian gravitation with two potentials, capable of accounting for the Pioneer anomaly and other tests.

Findings

Framework characterizes solar system tests with two generalized potentials.

Potential to explain the Pioneer anomaly.

Compatible with existing gravity tests.

Abstract

We build up a new phenomenological framework associated with a minimal generalization of Einsteinian gravitation theory. When linearity, stationarity and isotropy are assumed, tests in the solar system are characterized by two potentials which generalize respectively the Newton potential and the parameter $\gamma $ of parametrized post-Newtonian formalism. The new framework seems to have the capability to account for the Pioneer anomaly besides other gravity tests.