1996/04/29 by K. C. K. Chan, J. D. E. Creighton, Robert B. Mann +1 · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Conformal map #Conformal symmetry #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Entropy (arrow of time) #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Physics #Quantum mechanics #String (physics) #Theoretical physics #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.54.3892
published as Phys.Rev. D54 (1996) 3892-3899 · 16 pages REVTeX with packages amsfonts and amssymb
arxiv created 1996/04/29 · openalex publication_date 1996/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 for both the string and the Einstein metrics. In addition, the quasilocal thermodynamic quantities in the string metrics are computed and discussed.