Moeller's Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane

TL;DR

This paper applies Moeller's energy-momentum complex to analyze energy and momentum distributions in a noncommutative curved D3-brane spacetime with a generalized Schwarzschild geometry, incorporating first-order noncommutative corrections.

Contribution

It introduces a method to compute energy-momentum distributions in a noncommutative curved spacetime using Moeller's complex, with first-order noncommutative corrections included.

Findings

Energy and momentum distributions are derived for the noncommutative geometry.

The geometry depends on effective mass and charge with noncommutative corrections.

First-order noncommutative effects modify the classical distributions.

Abstract

Moeller's energy-momentum complex is employed in order to determine the energy and momentum distributions for a spacetime described by a "generalized Schwarzschild" geometry in (3+1)-dimensions on a noncommutative curved D3-brane in an effective, open bosonic string theory. The geometry considered is obtained by an effective theory of gravity coupled with a nonlinear electromagnetic field and depends only on the generalized (effective) mass and charge which incorporate corrections of first order in the noncommutativity parameter.