2014/02/28 by F. Lenz, K. Ohta, K. Yazaki
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Mathematical physics #Mathematics #Minkowski space #Physics #Quantum Electrodynamics and Casimir Effect #Scalar (mathematics) #Scalar field #Space (punctuation) #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.92.064018
published as Phys. Rev. D 92, 064018 (2015) · Emphasis on the exact numerical and approximate analytical evaluations of the thermodynamic quantities in the brick wall model, the vast conflict with the "standard" approximate procedure and applications beyond Rindler space-time
openalex publication_date 2015/09/15 · arxiv created 2015/09/20 · arxiv updated 2015/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Within the framework of the ``brick wall model,'' a novel method is developed to compute the contributions of a scalar field to the thermodynamic quantities of black holes. The relations between (transverse) momenta and frequencies in Rindler space are determined numerically with high accuracy and analytically with an accuracy of better than 10% and are compared with the corresponding quantities in Minkowski space. In conflict with earlier results, the thermodynamic properties of black holes turn out to be those of a low-temperature system. The resulting discrepancy for partition function and entropy by 2 orders of magnitude is analyzed in detail. In the final part we carry out the analogous studies for scalar fields in de Sitter space and thereby confirm that our method applies also to the important case of spherically symmetric spaces.