  We propose a regularization procedure for the novel Einstein-Gauss-Bonnet
theory of gravity, which produces a set of field equations that can be written
in closed form in four dimensions. Our method consists of introducing a counter
term into the action, and does not rely on the embedding or compactification of
any higher-dimensional spaces. This counterterm is sufficient to cancel the
divergence in the action that would otherwise occur, and exactly reproduces the
trace of the field equations of the original formulation of the theory. All
other field equations display an extra scalar gravitational degree of freedom
in the gravitational sector, in keeping with the requirements of Lovelock's
theorem. We discuss issues concerning the equivalence between our new
regularized theory and the original.
