Evanescent gravitational mass

TL;DR

This paper proposes a modified Newtonian gravity theory where gravitational energy contributes to the total active mass, introducing an evanescent gravitational mass component that affects the gravitational field of compact objects.

Contribution

It introduces a simple modification to Poisson's equation resulting in a theory where gravitational energy influences the total active mass, a novel concept in Newtonian gravity.

Findings

Total active mass includes proper and evanescent gravitational mass.

Gravitational energy contributes positively to the source of gravity.

Modified theory impacts the understanding of mass in gravitational systems.

Abstract

A simple and {\it innocent} modification of Poisson's equation leads to a modified Newtonnian theory of gravitation where a localized and {\it positive} energy density of the gravitational field contributes to its own source. The result is that the total {\it active gravitational mass} of a compact object is the sum of its {\it proper mass} and an {\it evanescent gravitational mass} which is a mass equivalent to the gravitational energy.