my question in regards to light. Since gravity warps space time, and we have discovered gravitational waves. Would the light at the front of the wave, be traveling faster than lightspeed? Essentially like a surf board on a wave?
Also, does gravity behave differently at light-speed? Would faster than light-speeds nullify gravity?
Gravitational waves always move at the speed of light as you say. Light also moves at the speed of light. For the question does light move faster than the speed of light in a gravitational wave. Well the answer is no. This is because light can never move faster than the speed of light. This is because the maximum speed through spacetime is the speed of light,c. Normal object move through time at the speed of light. Sometimes this can be a combination of moving through space and time. However normal matter could never reach the speed of light through space. Light however can move at the speed of light but since it is moving at this speed it experiences no time. Since light will not move any faster it will lose or gain energy to the gravitational wave. The gravitational wave will not speed up either due to the fact that it too is moving at the fastest speed possible-the speed of light.
