On the gravitational origin of the Pioneer Anomaly

TL;DR

This paper proposes a gravitational model to explain the Pioneer Anomaly, deriving a metric that aligns with observations but involves matter violating energy conditions, resembling dark energy with w=-1/3.

Contribution

It introduces a new gravitational metric for the Pioneer Anomaly that accounts for observations while highlighting issues with matter energy conditions in GR.

Findings

The derived metric explains the Pioneer Anomaly without affecting planetary orbits.

The energy-momentum tensor violates energy dominance conditions.

The equation of state resembles dark energy with w=-1/3.

Abstract

From Doppler tracking data and data on circular motion of astronomical objects we obtain a metric of the Pioneer Anomaly. The metric resolves the issue of manifest absence of anomaly acceleration in orbits of the outer planets and extra-Pluto objects of the Solar system. However, it turns out that the energy-momentum tensor of matter, which generates such a gravitational field in GR, violates energy dominance conditions. At the same time the equation of state derived from the energy-momentum tensor is that of dark energy with $w=-1/3$. So the model proposed must be carefully studied by "Grand-Fit" investigations.