2006/07/31 by Gabriel Lopes Cardoso, Viviane Grass, Dieter Lust +2 · 36 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Attractor #Binary entropy function #Black Holes and Theoretical Physics #Conifold #Entropy (arrow of time) #Extremal black hole #Maxima and minima #Pulsars and Gravitational Waves Research #Supergravity #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/09/078
published in Journal of High Energy Physics 2006(09), 078 (Springer Nature) · 19 pages, 4 figures, AMS-LaTeX, reference added
arxiv created 2006/09/26 · openalex publication_date 2006/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for the black hole potential or, equivalently, for the entropy function. We contrast both methods by explicitly solving the attractor equations for a one-modulus prepotential associated with the conifold. We find that near the conifold point, the non-supersymmetric solution has a substantially different behavior than the supersymmetric solution. We analyze the stability of the solutions and the extrema of the resulting entropy as a function of the modulus. For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point.