2012/12/31 by Edwin J. Son, Wontae Kim
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Conformal anomaly #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Geometry #Hawking radiation #Mathematics #Noncommutative and Quantum Gravity Theories #Photon sphere #Physics #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Spacetime #Theoretical physics #White hole #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep03(2013)060
published as J. High Energy Phys. 03 (2013) 060 · v2. improved version published in JHEP; 11 pages, 3 figures, clarifications and references added
openalex publication_date 2013/03/01 · arxiv created 2013/03/16 · arxiv updated 2013/03/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study thermodynamic quantities and phase transitions of a spherically symmetric Schwarzschild black hole by taking into account the back reaction through the conformal anomaly of matter fields, and show that there exists an additional phase transition to the conventional Hawking-Page phase transition. The small black hole is more probable than the hot flat space above a second critical temperature, while it is less probable than the hot flat space in the classical Schwarzschild black hole. However, the unstable small black hole eventually should decay into the stable large black hole because the conformal anomaly does not change its thermodynamic stability.