Black hole solutions in Einstein–Maxwell–Yang–Mills–Gauss–Bonnet theory

2008/01/31 by S. Habib Mazharimousavi, S Habib Mazharimousavi, M. Halilsoy +1
Physics and Astronomy · #Ansatz #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Field (mathematics) #Metric (unit) #RADIUS #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1088/1475-7516/2008/12/005

published as J. Cosmol. Astropart. Phys. 12 (2008) 005 · 20 pages, 5 figures, to be published in JCAP

arxiv created 2008/11/13 · openalex publication_date 2008/12/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider Maxwell and Yang-Mills (YM) fields together, interacting through gravity both in Einstein and Gauss-Bonnet (GB) theories. For this purpose we choose two different sets of Maxwell and metric ansaetze. In our first ansatz, asymptotically for r→0 (and N>4) the Maxwell field dominants over the YM field. In the other asymptotic region, r→∞, however, the YM field becomes dominant. For N=3 and N=4, where the GB term is absent, we recover the well-known Ba Uf1ados-Teitelboim-Zanelli (BTZ) and Reissner-Nordstr Uf6m (RN) metrics, respectively. The second ansatz corresponds to the case of constant radius function for SN−2 part in the metric. This leads to the Bertotti-Robinson (BR) type solutions in the underlying theory.

Citations

• Black hole in three-dimensional spacetime
• Higher dimensional Yang–Mills black holes in third order Lovelock gravity
• A simple theorem to generate exact black-hole solutions
• Self-gravitating Yang monopoles in all dimensions
• On the LambertW function
• Einstein–Yang–Mills black hole solution in higher dimensions by the Wu–Yang ansatz