Extremely charged static perfect fluid distributions with dilaton in curved spacetimes

TL;DR

This paper investigates static charged perfect fluid distributions coupled with a dilaton field within general relativity, deriving relations among charge, mass, and dilatonic charge densities under a simplified Einstein equation framework.

Contribution

It introduces a model where Einstein equations reduce to a non-linear Poisson equation, linking charge, mass, and dilatonic charge densities in such distributions.

Findings

Derived relations among charge, mass, and dilatonic charge densities.

Reduced Einstein equations to a non-linear Poisson form.

Analyzed the implications of the dilaton field in static fluid distributions.

Abstract

We examine charged static perfect fluid distributions with a dilaton field in the frame-work of general relativity. We consider the case that the Einstein equations reduce to a non-linear version of Poisson equation. We show that Maxwell equation and an equation for a dilaton imply the relation among the charge, mass and dilatonic charge densities.