Attenuated Gravitational Radiation

The hypothesis of an alternative way obtaining gravitational waves is the physical motivation this article. Using linear field approximation and a symmetry transformation affine connection, new equations gauge conditions have been obtained. Solutions to these considered in empty space wave zone, both them oscillation amplitudes their solutions are attenuated exponentially. We expect that can be useful for building more sophisticated models, also as impulse researching further transformations general relativity.