Energy distribution of the Einstein-Klein-Gordon system for a static spherically symmetric spacetime in (2+1)-dimensions

TL;DR

This paper calculates the energy and momentum distribution in a (2+1)-dimensional static spherically symmetric spacetime with a scalar field using Moeller's energy-momentum complex, providing insights into energy localization in such models.

Contribution

It applies Moeller's energy-momentum complex to an exact Einstein-scalar field solution in (2+1) dimensions, offering explicit energy-momentum distribution calculations.

Findings

Explicit energy and momentum densities computed

Application of Moeller's complex to lower-dimensional gravity

Insights into energy localization in (2+1)-dimensional spacetime

Abstract

We use Moeller's energy-momentum complex in order to explicitly compute the energy and momentum density distributions for an exact solution of Einstein's field equations with a negative cosmological constant minimally coupled to a static massless scalar field in a static, spherically symmetric background in (2+1)-dimensions.