Weak Field Expansion of Gravity and Graphical Representation
Abstract
We introduce a graphical representation for a global SO(n) tensor _ h, which generally appears in the perturbative approach of gravity around the flat space: g=+h. We systematically construct global SO(n) invariants. Independence and completeness of those invariants are shown by taking examples of h-, and ( h)2- invariants. They are classified graphically. Indices which characterize all independent invariants (or graphs) are given. We apply the results to general invariants with dimension (Mass)4 and the Gauss-Bonnet identity in 4-dim gravity.
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