CONSERVED MASSES IN GHS EINSTEIN AND STRING BLACK-HOLES AND CONSISTENT THERMODYNAMICS

We analyze the relationship between quasilocal masses calculated for s olutions 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 con formally invariant. Thus, the requirement of conformal invariance plac es restrictions on the choice of reference spacetimes. We calculate th e mass of the black hole solutions obtained by Garfinkle, Horowitz, an d Strominger for both the string and the Einstein metrics. In addition , the quasilocal thermodynamic quantities in the string metrics are co mputed and discussed.