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

Lee, Jungil; Shim, J. S.; Song, H. S.

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

Authors

Lee, Jungil

Shim, J. S.

Song, H. S.

Description

We derive the simplest form of the $κ(κ^2)$ 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.
10 pages, Revtex; Some misprints corrected, results unchanged