2010/01/14 by Álvaro de la Cruz-Dombriz, Alvaro de la Cruz-Dombriz, Antonio Dobado +1 · 15 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Constant (computer programming) #Constant curvature #Context (archaeology) #Cosmological constant #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Einstein #Geometry #Gravitation #Mathematical physics #Mathematics #Physics #Quantum mechanics #Schwarzschild radius #Theoretical physics #Universe #de Sitter–Schwarzschild metric #gr-qc
paper · pdf · doi:10.1088/1742-6596/229/1/012033
published in Journal of Physics Conference Series 229, 012033 (IOP Publishing) · 4 pages, 2 figures. Contribution to the proceedings of Spanish Relativity Meeting 2009, Bilbao, Spain, 7-11 September 2009
arxiv created 2010/01/14 · openalex publication_date 2010/05/01 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the context of f ( R ) gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions, and second, the general case (without imposing constant curvature) is also studied. Performing a perturbative expansion around the Einstein-Hilbert action, it is found that only solutions of the Schwarzschild-(Anti-) de Sitter type are present (up to second order in perturbations) and the explicit expressions for these solutions are provided in terms of the f ( R ) function. Finally we consider the thermodynamics of black holes in Anti-de Sitter space-time and study their local and global stability.