Spiros Cotsakis, Dimitrios Trachilis, Antonios Tsokaros
We start with a formal series expansion of the regular asymptotic solution of the higher order gravity theory derived from the quadratic lagrangian $R+\epilon R^2$ in vacuum, and build a time development as a solution of an initial value formulation of the theory. We show that the resulting solution, if analytic, contains the right number of free functions to qualify as a general solution of the theory. We further show that any regular analytic solution which satisfies the constraints and evolution equations can be given in the form of such an asymptotic formal series expansion.
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http://arxiv.org/abs/1212.2412
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