Thermodynamical Properties and Quasi-localized Energy of the Stringy Dyonic Black Hole Solution

TL;DR

This paper investigates the thermodynamical properties and quasi-localized energy of various stringy dyonic black hole solutions, revealing specific energy relations and proposing a new RN-like solution with similar thermodynamics.

Contribution

It introduces a new RN-like stringy dyonic black hole solution derived from the KLOPP solution and analyzes energy and heat flux relations in different stringy black hole models.

Findings

The energy formula holds for mGHS and KLOPP solutions but not for CLH.

A new RN-like dyonic black hole solution is proposed.

Thermodynamical properties of the new solution match those of the KLOPP solution.

Abstract

In this article, we calculate the heat flux passing through the horizon $. {\bf TS}|_{r_h}$ and the difference of energy between the Einstein and M{\o}ller prescription within the region ${\cal M}$, in which is the region between outer horizon ${\cal H}_+$ and inner horizon ${\cal H}_-$, for the modified GHS solution, KLOPP solution and CLH solution. The formula . E_{\rm Einstein}|_{\cal M} = . E_{\rm M{\o}ller}|_{\cal M} - \sum_{\partial {\cal M}} {\bf TS}$ is obeyed for the mGHS solution and the KLOPP solution, but not for the CLH solution. Also, we suggest a RN-like stringy dyonic black hole solution, which comes from the KLOPP solution under a dual transformation, and its thermodynamical properties are the same as the KLOPP solution.