Gravitational Analogues, Geometric Effects and Gravitomagnetic Charge

TL;DR

This paper explores geometric effects related to gravitomagnetic fields and introduces the concept of gravitomagnetic charge as a topological property of gravity, proposing new field equations and potential explanations for spacecraft anomalies.

Contribution

It introduces the concept of gravitomagnetic charge, proposes a new field equation for gravitomagnetic matter, and offers a solution and possible explanation for Pioneer spacecraft anomalies.

Findings

Proposed a new field equation for gravitomagnetic matter

Provided a static spherically symmetric solution

Suggested a potential explanation for Pioneer anomaly

Abstract

This essay discusses some geometric effects associated with gravitomagnetic fields and gravitomagnetic charge as well as the gravity theory of the latter. Gravitomagnetic charge is the duality of gravitoelectric charge (mass) and is therefore also termed the dual mass which represents the topological property of gravitation. The field equation of gravitomagnetic matter is suggested and a static spherically symmetric solution of this equation is offered. A possible explanation of the anomalous acceleration acting on Pioneer spacecrafts are briefly proposed.