four/three-dimensional part is trivially satisfied, the set of the equations of motion for the negative constant curvature space part then reduces to a single equation. Solving the latter yields a class of new exact analytic solutions for Gauss-Bonnet gravity. This class of the solutions has two integration constants; one is argued to be related to the mass of the solutions and the other behaves like a Maxwell charge. The Maxwell charge is called “Weyl charge" due to the existence of the extra negative constant curvature space. This class of solutions is quite different from the normal ones in the sense which will become clear shortly. Quantum properties of those black hole solutions have not yet been studied so far.

In this paper, we consider a general Lovelock theory instead of the Gauss-Bonnet theory, and seek for more general black hole solutions and study their thermodynamics. The outline of the paper is as follows. In Sec. II, we present a class of new black hole solutions in the general Lovelock theory, following [@Maeda:2006iw; @Maeda:2006hj]. In Sec. III, we study thermodynamic properties of those black hole solutions. Sec. IV is devoted to conclusion and discussion.

General Black Hole Solutions
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Equations of 