Gravitational energy of a noncommutative Vaidya black hole

TL;DR

This paper calculates the gravitational energy distribution of a noncommutative Vaidya black hole, revealing that the effective mass experienced by a test particle supports the conjecture that naked singularities are massless.

Contribution

It provides a novel evaluation of energy-momentum pseudotensors for noncommutative Vaidya spacetime and derives the effective gravitational mass at finite distances.

Findings

Naked singularity is massless according to the effective mass.

Supports Seifert's conjecture about naked singularities.

Provides insights into energy distribution in noncommutative black hole spacetimes.

Abstract

In this paper we evaluate the components of the energy-momentum pseudotensors of Landau and Lifshitz for the noncommutative Vaidya spacetime. The effective gravitational mass experienced by a neutral test particle present at any finite distance in the gravitational field of the noncommutative Vaidya black hole is derived. Using the effective mass parameter one finds that the naked singularity is massless and this supports Seifert's conjecture.