On a Nonlinear Newtonian Gravity and Charging a Black Hole

TL;DR

This paper explores a nonlinear Newtonian gravity model with a scalar field analog of the Reissner-Nordstrom solution, revealing an upper charge limit for black holes consistent with general relativity, and examines charge accumulation limits.

Contribution

It introduces a nonlinear Newtonian framework for black hole charge limits, bridging classical and relativistic concepts without curvature effects.

Findings

Maximum charge limit aligns with relativistic conditions for horizons

Charge accumulation by bombardment has a calculable upper bound

Scalar field model reproduces key features of charged black holes

Abstract

A scalar field gravitational analog of the Reissner-Nordstrom solution is investigated. The nonlinear Newtonian model has an upper-limit of charge for a central mass which agrees with the general relativistic condition required for the existence of the black hole horizon. The maximum limit for accumulation by bombardment of charged particles is found. The aim is to investigate the resulting physics after severing the effects of curvature from the effects of energy-mass equivalence.