Attractive or Compressive. What's at the center?

I see the leaf twisting in the air but cannot see the wind, yet I know it must be there. When I stand I feel the weight upon my feet and see the stone drop from my hand but cannot see the force that makes it fall. Sight does not reveal all, and many unseen forces form and direct the dance of matter we observe. We measure and name these forces and predict their results as they interact with matter and with light, but our discoveries never generate final answers. Instead they seem only to generate more questions. Our latest observations have generated questions we have named “dark matter” and “dark energy”, both somehow related to the force we call gravity. As our theorists and scientists seek answers to these new questions, I seek answers to other questions. Specifically; is gravity attractive or compressive, and is there a difference? Before I’m told to put my hand down, as if I were in a classroom asking a dumb question, I would like to explain why I am confused. I have been told by experts that pressure inside a star, or planet, increases with depth below the surface and is greatest at the core or center. This appears correct if celestial spheres are being squeezed into shape from outside, but if they are formed by micro bits of matter attracting each other into spherical shapes it would seem that pressure would increase with depth until the attraction of the matter above begins to balance the attraction of the matter below. If this is the case a zero gravity state would logically follow to exist at the exact center of mass. I liken this to a tug-of-war between the gravitational attraction of mass below competing with the gravitational attraction of mass above. On the surface the pulling team below has the advantage because it has all the players on its side pulling down, but as the tug-of-war rope moves below the surface toward the center of the sphere, the tug-of-war team players systematically move from the pull down team to the pull up team as the mass above increases and the mass below decreases. The deeper they go more and more players switch to the pull up side until they reach the center of the sphere where equilibrium is reached with equal players and equal mass all around creating a stalemate and a zero gravity state. The conclusion that zero gravity and zero pressure conditions exist at the center of all massive celestial spheres seems to contradict many other theories and observations and I remain confused. Is gravity a compressive condition of space acting on matter or an attractive force between matter acting on space, or both? Einstein’s field theories show a connection between matter and gravity similar to a couple arguing about who is in charge. Mass is constantly being pulled around by Gravity. Mass complains but Gravity responds that it is Mass that makes her pull on him. Resolution seems impossible and divorce is not an option. Comments to this blog to help me resolve the paradox of where maximum pressures reside inside stars are welcomed.