Energy distribution of charged dilaton black holes

TL;DR

This paper examines the energy distribution of charged dilaton black holes using Tolman's prescription, confirming previous results and highlighting the dependence on the coupling parameter while total energy remains unaffected.

Contribution

It demonstrates that Tolman's energy-momentum complex yields the same energy distribution results as Einstein's for charged dilaton black holes, emphasizing the role of the coupling parameter.

Findings

Energy distribution depends on the coupling parameter $\gamma$

Total energy is independent of $\gamma$

Results align with previous Einstein complex calculations

Abstract

Chamorro and Virbhadra studied, using the energy-momentum complex of Einstein, the energy distribution associated with static spherically symmetric charged dilaton black holes for an arbitrary value of the coupling parameter $\gamma$ which controls the strength of the dilaton to the Maxwell field. We study the same in Tolman's prescription and get the same result as obtained by Chamorro and Virbhadra. The energy distribution of charged dilaton black holes depends on the value of $\gamma$ and the total energy is independent of this parameter.