Do massless particles create tiny gravity-booms? So just a precursor, my main focus is math and I don't fully understand everything in physics so I apologize if this has an obvious answer or the wrong tags are used.
That being said, I do know that mass-less particles travel at the speed of light and they have energy, meaning they exert a gravitational force. I also know that gravity travels at the speed of light. By knowing these 2 things can we conclude that light makes a sort of sonic boom with gravity being the pressure wave and the mass-less particle being the supersonic object?
 A: To start with, in order to study photon graviton interactions one must have a quantized gravitation which will give the appropriate interaction vertices and diagrams. There does seem to be a "graviton compton scattering" according to the link. As graviton is spin two and photon is spin 1 it is not simple like electron photon. This is for a real interaction.
The gravitational field that a particle carries due to its energy momentum vector is described with virtual exchanges. The electric field of an electron moving with velocity v can be described in quantum field theory as built up by virtual photons, this means that no energy is lost until there is an interaction. I presume that the gravitational field of a particle moving with velocity v will be described by virtual gravitons.
The virtual gravitons and the real photon, whose gravitational field creates the virtual gravitons, are not exchanging any energy.  A sonic boom type of mathematics cannot be built up because virtual means no energy is exchanged, and a sonic boom consumes energy.
So no, the analogy cannot hold.
A: Massless particles are known to experience the same gravitational acceleration as other particles (which provides empirical evidence for the equivalence principle) because they do have relativistic mass, which is what acts as the gravity charge.
