2005/09/30 by Sergey N. Solodukhin · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cauchy stress tensor #Chern–Simons theory #Classical mechanics #Conformal anomaly #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Gauge theory #Geometry #Gravitation #Gravitational anomaly #Horizon #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th #math.DG
paper · pdf · doi:10.1103/physrevd.74.024015
published as Phys.Rev.D74:024015,2006 · 19 pages, Latex; v3: minor corrections, some clarifications
arxiv created 2005/12/28 · openalex publication_date 2006/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The holographic description in the presence of the gravitational Chern-Simons term is studied. The modified gravitational equations are integrated by using the Fefferman-Graham expansion, and the holographic stress-energy tensor is identified. The stress-energy tensor has both conformal anomaly and gravitational or, if reformulated in terms of the zweibein, Lorentz anomaly. We comment on the structure of anomalies in two dimensions and show that the two-dimensional stress-energy tensor can be reproduced by integrating the conformal and gravitational anomalies. We study the black hole entropy in theories with a gravitational Chern-Simons term and find that the usual Bekenstein-Hawking entropy is modified. For the Banados-Teitelboim-Zanelli (BTZ) black hole, the modification is determined by the area of the inner horizon. We show that the total entropy of the BTZ black hole is precisely reproduced in a boundary conformal field theory calculation using the Cardy formula.