2019/09/30 by Seyed Morteza Hosseini, Kiril Hristov, Alberto Zaffaroni
Mathematics · Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Geometry #Gravitation #Mathematical physics #Mathematics #Physics #Quantum mechanics #Rotating black hole #Theoretical physics #Twist #hep-th
paper · pdf · doi:10.1007/jhep12(2019)168
published as JHEP12(2019)168 · 44 pages, v2: Published version, (6.17) corrected; v3: typos corrected
openalex publication_date 2019/12/01 · arxiv created 2021/05/22 · arxiv updated 2021/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We provide a unifying entropy functional and an extremization principle for black holes and black strings in AdS 4 × S 7 and AdS 5 × S 5 with arbitrary rotation and generic electric and magnetic charges. This is done by gluing gravitational blocks, basic building blocks that are directly inspired by the holomorphic blocks appearing in the factorization of supersymmetric partition functions in three and four dimensions. We also provide an explicit realization of the attractor mechanism by identifying the values of the scalar fields at the horizon with the critical points of the entropy functional. We give examples based on dyonic rotating black holes with a twist in AdS 4 × S 7 , rotating black strings in AdS 5 × S 5 , dyonic Kerr-Newman black holes in AdS 4 × S 7 and Kerr-Newman black holes in AdS 5 × S 5 . In particular, our entropy functional extends existing results by adding rotation to the twisted black holes in AdS 4 and by adding flavor magnetic charges for the Kerr-Newman black holes in AdS 4 . We also discuss generalizations to higher-dimensional black objects.