The gravitational interaction of light is analyzed considering its dual characteristic nature, i.e. as an (electromagnetic) wave or as a particle (photon). Considered as an electromagnetic wave, the light can be source of gravitational waves belonging to the larger class of exact solutions of Einstein field equations which are invariant for a non-Abelian two-dimensional Lie algebra of Killing fields. It is shown that in the would be quantum theory of gravity they correspond to spin$-1$ massless particles.
"Is the Light Too Light?." J. Geom. Symmetry Phys. 19 87 - 98, 2010. https://doi.org/10.7546/jgsp-19-2010-87-98