anti-matter is electrically the opposite of normal matter, and it can be shown that any anti-matter that collided with its particle.
this negative matter would be the gravitational opposite of normal matter, I am not sure if it would be destroy on contact with its postive-particle. but as the same processes that form galaxies would push the negative-matter out it wouldn't be found inside galaxies, only between them (or visa-versa if a galaxy was formed by negative matter). Also as neg-mass-particles and normal ones always repel each other, it would take a very energetic event to cause a colision.
But my main question was if a solution to general relativity existed for a massless universe, and if this could describe our universe?