2009/06/26 by Stefano Bellucci, S. Bellucci, S. Ferrara +4 · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Formalism (music) #Hessian matrix #Mathematical physics #Mathematics #Physics #Quantum mechanics #Theoretical physics #White hole #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/10/024
published as JHEP 0910:024,2009 · 21 pages, PACS numbers: 04.50.Gh, 04.70.Dy, 04.65.+e
arxiv created 2009/06/26 · openalex publication_date 2009/10/08 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Higher order derivative corrections to the Einstein--Maxwell action are considered and an explicit form is found for the corrections to the entropy of extremal black holes. We speculate on the properties of these corrections from the point of view of small black holes and in the case when the classical black hole potential exhibits flat directions. A particular attention is paid to the issue of stability of several solutions, including large and small black holes by using properties of the Hessian matrix of the effective black hole potential. This is done by using a model independent expression for such matrix derived within the entropy function formalism.