General Relativistic Treatment of the Pioneers Anomaly

TL;DR

This paper introduces a General Relativistic model with a rotating metric that explains the Pioneer anomaly through a universal centripetal acceleration, offering a Machian perspective on cosmic rotation.

Contribution

It presents a novel Gaussian metric with global rotation differing from previous models, providing a relativistic explanation for the Pioneer anomaly.

Findings

Universal centripetal acceleration matches Pioneer anomaly value

Proposes a globally rotating Gaussian metric

Offers a Machian relativistic framework

Abstract

We consider a General Relativistic generalized RW's metric,and find a field of Universal rotational global centripetal acceleration, numerically coincident with the value of the Pioneers Anomalous one.Related subjects are also treated.The rotation defined here is different from older frameworks, because we propose a Gaussian metric, whose tri-space rotates relative to the time orthogonal axis, globally.The present solution is "Machian", paralleling our previous semi-relativistic rotating solution (Berman,2007).