Non-abelian Lovelock-Born-Infeld topological black holes
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Publication:388500
zbMATH Open1278.83029arXiv0909.0309MaRDI QIDQ388500
Author name not available (Why is that?)
Publication date: 30 December 2013
Published in: (Search for Journal in Brave)
Abstract: We present the asymptotically AdS solutions of the Einstein gravity with hyperbolic horizons in the presence of Yang-Mills fields governed by the non-Abelian Born-Infeld lagrangian. We investigate the properties of these solutions as well as their asymptotic behavior in varies dimensions. The properties of these kind of solutions are like the Einstein-Yang-Mills solutions. But the differences seems to appear in the role of the mass, charge and born-Infeld parameter , in the solutions. For example in Einstein-Yang-Mills theory the solutions with non-negative mass cannot present an extreme black hole while that of in Einstein-Yang-Mills-Born Infeld theory can. Also the singularities in higher dimensional Einstein-Yang-Mills theory for non-negative mass are always spacelike, while depending on choosing the parameters, we can find timelike singularities in the similar case of Einstein-Yang-Mills-Born-Infeld theory. We also extend the solutions of Einstein to the case of Gauss-Bonnet and Lovelock gravity. It is shown that, these solutions in the limits of , and , represent pure gravity and gravity coupled with Yang-Mills fields, respectively.
Full work available at URL: https://arxiv.org/abs/0909.0309
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