On the M{\o}ller's energy complex of the charged dilaton black hole

TL;DR

This paper calculates the energy distribution of charged dilaton black holes using M{46}ller's energy complex, confirming its scalar nature under spatial transformations and exploring properties of dyonic black hole energy distribution.

Contribution

It applies M{46}ller's energy complex to specific dilaton black hole solutions, demonstrating its scalar invariance and analyzing energy distribution properties.

Findings

M{46}ller's energy complex is a 3-scalar under spatial transformations.

Energy distribution properties of dyonic black holes are characterized.

Confirmed the applicability of M{46}ller's energy complex to dilaton black holes.

Abstract

Using M{\o}ller's energy complex, we obtain the energy distributions of GHS solution and dyonic dilaton black hole solution in the dilaton gravity theory. It is confirmed that the M{\o}ller's energy complex is indeed a 3-scalar under purely spatial transformation in these energy distributions. Some interested properties of the energy distribution of dyonic black hole are disscussed.