Critical points of the Black-Hole potential for homogeneous special geometries

2007/01/10 by R. D'Auria, Riccardo D’Auria, S. Ferrara +2 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/03/097

published as JHEP 0703:097,2007 · 17 pages, LaTeX file

arxiv created 2007/01/10 · openalex publication_date 2007/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the analysis of N=2 extremal Black-Hole attractor equations to the case of special geometries based on homogeneous coset spaces. For non-BPS critical points (with non vanishing central charge) the (Bekenstein-Hawking) entropy formula is the same as for symmetric spaces, namely four times the square of the central charge evaluated at the critical point. For non homogeneous geometries the deviation from this formula is given in terms of geometrical data of special geometry in presence of a background symplectic charge vector.

Citations

• Symmetry structure of special geometries
• Microscopic Origin of the Bekenstein-Hawking Entropy

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