Do all types of energy influence space-time?

Question

This would include the energy of atoms, light, cosmic rays, etc. Any known type of energy.

Answer 1

Yes. Einstein's Field Equations take into account the total energy density of a region of space, which includes all types of energy.

For example, if there are two otherwise identical metal blocks at different temperatures, the hotter one would weigh more because of the additional thermal energy.

Answer 2

Good question. In my mind energy IS time-space and the related differences in time progression for objects in differing velocities are in a universal field structure of gravity. It is impossible to know a thing and not know it at the same time but incompletely knowing it is consistent for each its incomplete knownness. I don't know and I don't think it is possible to know that.