Conserved masses in GHS Einstein and string black holes

TL;DR

This paper investigates how quasilocal masses in conformally related black hole solutions, specifically GHS solutions, behave under conformal transformations, revealing invariance conditions and computing related thermodynamic quantities.

Contribution

It demonstrates the conditions under which ADM mass remains conformally invariant and calculates the masses and thermodynamic properties of GHS black holes in different metrics.

Findings

ADM mass is conformally invariant only under specific conditions.

Mass calculations for GHS black holes in string and Einstein frames.

Quasilocal thermodynamic quantities are computed and analyzed.

Abstract

We analyze the relationship between quasilocal masses calculated for solutions of conformally related theories. We show that the ADM mass of a static, spherically symmetric solution is conformally invariant (up to a constant factor) only if the background action functional is conformally invariant. Thus, the requirement of conformal invariance places restrictions on the choice of reference spacetimes. We calculate the mass of the black hole solutions obtained by Garfinkle, Horowitz, and Strominger (GHS) for both the string and the Einstein metrics. In addition, the quasilocal thermodynamic quantities in the string metrics are computed and discussed.