In this paper, we study the near horizon symmetry and gravitational charges
in the Newman-Penrose formalism. In particular we investigate the effect from
topological terms. We find that the Pontryagin term and Gauss-Bonnet term have
significant influence on the near horizon charges and bring interesting novel
features. We show that the gravitational charge derived from a general class of
topological terms including the Pontryagin term and Gauss-Bonnet term can be
obtained from the ambiguities of the symplectic potential.
