Regular Article - Theoretical Physics
Einstein–Yang–Mills–Lorentz black holes
Departamento de Física Teórica I, Universidad Complutense de Madrid, 28040, Madrid, Spain
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Accepted: 23 November 2017
Published online: 11 December 2017
Different black hole solutions of the coupled Einstein–Yang–Mills equations have been well known for a long time. They have attracted much attention from mathematicians and physicists since their discovery. In this work, we analyze black holes associated with the gauge Lorentz group. In particular, we study solutions which identify the gauge connection with the spin connection. This ansatz allows one to find exact solutions to the complete system of equations. By using this procedure, we show the equivalence between the Yang–Mills–Lorentz model in curved space-time and a particular set of extended gravitational theories.
© The Author(s), 2017