The simplest form of the $κ$ and $κ^2$ order graviton self-interaction Lagrangian density in the weak field approximation

Physics – High Energy Physics – High Energy Physics - Phenomenology

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10 pages, Revtex; Some misprints corrected, results unchanged

Scientific paper

We derive the simplest form of the $\kappa(\kappa^2)$ order graviton self-interaction Lagrangian density $\lag{1}(\lag{2})$ in the weak field approximation. With the divergenceless condition, de Donder gauge and some combinatoric techniques, we derive the mathematically independent basis expressions for $\lag{1}(\lag{2})$ composed of 8(24) terms. By using the basis expressions $\lag{1}(\lag{2})$ is reduced to 6(18) terms.

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