The speed of light as the maximal possible speed is build into Special Relativity as a premise of the theory. However I know of no such premise in General Relativity. When looking at two stars laying in opposite directions from earth, each moving away from us at the speed of light, their relative velocity will be twice the speed of light. However, here them "moving away" from each other is not really true, since they are each at rest, only the space between them expands. My question is: Is there a situation in General Relativity where particle and/or energy can actually move faster than light by its own propulsion? Or can objects only travel faster than c when aided by space expansion?
(I'm not looking for situations involving worm holes or black holes.)