N-dimensional non-abelian dilatonic, stable black holes and their Born–Infeld extension

2008/02/29 by S. Habib Mazharimousavi, M. Halilsoy, Z. Amirabi
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1007/s10714-009-0835-5

published as Gen Rel.Grav.42:261-280,2010 · 21 pages, no figures, to appear in in GRG

arxiv created 2009/05/22 · openalex publication_date 2009/06/11 · arxiv updated 2010/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We find large classes of non-asymptotically flat Einstein-Yang-Mills-Dilaton (EYMD) and Einstein-Yang-Mills-Born-Infeld-Dilaton (EYMBID) black holes in N-dimensional spherically symmetric spacetime expressed in terms of the quasilocal mass. Extension of the dilatonic YM solution to N-dimensions has been possible by employing the generalized Wu-Yang ansatz. Another metric ansatz, which aided in finding exact solutions is the functional dependence of the radius function on the dilaton field. These classes of black holes are stable against linear radial perturbations. In the limit of vanishing dilaton we obtain Bertotti-Robinson (BR) type metrics with the topology of AdS₂× S^N-2. Since connection can be established between dilaton and a scalar field of Brans-Dicke (BD) type we obtain black hole solutions also in the Brans-Dicke-Yang-Mills (BDYM) theory as well.

Citations

• Higher dimensional Yang–Mills black holes in third order Lovelock gravity
• Charged dilaton black holes with unusual asymptotics
• Stationary black holes and attractor mechanism
• Foundations of the new field theory