Solution for static, spherically symmetric Lovelock gravity coupled with Yang–Mills hierarchy

2010/07/31 by S. Habib Mazharimousavi, M. Halilsoy
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Context (archaeology) #Cosmology and Gravitation Theories #Gauge theory #Hierarchy #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #Yang–Mills existence and mass gap #gr-qc

paper · pdf · doi:10.1016/j.physletb.2010.09.030

published as Phys.Lett.B694:54-60,2010 · 10 pages, no figures, to appear in PLB

arxiv created 2010/09/15 · openalex publication_date 2010/09/19 · arxiv updated 2010/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The hierarchies of both Lovelock gravity and power-Yang-Mills field are combined through gravity in a single theory. In static, spherically symmetric ansatz exact particular integrals are obtained in all higher dimensions. The advantage of such hierarchies is the possibility of choosing coefficients, which are arbitrary otherwise, to cast solutions into tractable forms. To our knowledge the solutions constitute the most general spherically symmetric metrics that incorporate complexities both of Lovelock and Yang-Mills hierarchies within the common context. A large portion of our general class of solutions concern and addresses to black holes for which specific examples are given. Thermodynamical behaviors of the system is briefly discussed in particular dimensions.

Citations

• N-dimensional non-abelian dilatonic, stable black holes and their Born–Infeld extension
• Lovelock black holes with a power-Yang–Mills source
• Five-dimensional rotating black holes in Einstein–Gauss–Bonnet theory
• Einstein–Yang–Mills black hole solution in higher dimensions by the Wu–Yang ansatz
• Slowly rotating charged Gauss-Bonnet black holes in AdS spaces