When trying to understand what dark matter is, it is helpful to know that some properties of it can already be derived from various observations, such as, it only interacting via gravity and no other force, it being five times more in amount than regular matter, etc. But one thing that has confused me is the presumption that it must have mass.
Dark matter having mass seems to be derived from the fact it can interact only via gravity, but considering that the mass-energy equivalence exists, this means that in the context of General Relativity, where gravity is described as the curving of spacetime, it can also apply to massless, energetic particles, not just massive objects. So couldn't dark matter very well be massless?