Lovelock black holes with a power-Yang-Mills source

We consider the standard Yang-Mills (YM) invariant raised to the power q, i.e., ((F mu nu F(a)mu nu)-F-(a))(q) as the source Of Our geometry and investigate the possible black hole solutions. How does this parameter q modify the black holes in Einstein-Yang-Mills (EYM) and its extensions such as Gauss-Bonnet (GB) and the third order Lovelock theories? The advantage of such a power q (or a set of superposed members of the YM hierarchies) if any. may be tested even in a free YM theory in flat spacetime. Our choice of the YM field is purely magnetic in any higher-dimensions so that duality makes no sense. In analogy with the Einstein-power-Maxwell theory, the conformal invariance provides further reduction, albeit in a spacetime for dimensions of multiples of 4. (C) 2009 Elsevier B.V. All rights reserved.