A new look at hidden conformal symmetries of black holes

2011/07/19 by Edgardo Franzin, Ivica Smolić · 10 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Geometry #Homogeneous space #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Theoretical physics #Wave equation #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep09(2011)081

published in Journal of High Energy Physics 2011(9) (Springer Nature) · 11 pages, some comments and two references added, several typos corrected

arxiv created 2011/07/19 · openalex publication_date 2011/09/01 · arxiv updated 2011/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a different approach to the analysis of symmetries in the near-horizon region of black holes. The idea is presented here for spherically symmetric black holes, for which we have shown that the generators of hidden symmetries can be extracted by solving the conformal Killing equation under certain assumptions. Our result is in agreement with that obtained in literature by the analysis of the wave equation in the near-horizon region.

Citations

• Birkhoff's theorem in higher derivative theories of gravity
• The four laws of black hole mechanics
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Conformal structure of the Schwarzschild black hole
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Holes and Entropy

Cited by

• Near horizon hidden symmetry and entropy of Sultana-Dyer black hole: A time dependent case