BLACK OBJECTS IN THE EINSTEIN–GAUSS–BONNET THEORY WITH COSMOLOGICAL CONSTANT AND THE BOUNDARY COUNTERTERM METHOD

We propose to compute the action and global charges of the asymptotically anti-de Sitter solutions in Einstein-Gauss-Bonnet theory by adding boundary counterterms to the gravitational action. As an application, we consider Einstein-Gauss-Bonnet black string solutions with negative cosmological constant.