Each solution of Einstein's equation encompasses the whole history of a universe—it is not just some snapshot of how things are, but a whole, possibly matter-filled, spacetime. It describes the state of matter and geometry everywhere and at every moment in that particular universe. Due to its general covariance, Einstein's theory is not sufficient by itself to determine the time evolution of the metric tensor. It must be combined with a coordinate condition, which is analogous to gauge fixing in other field theories.
Each solution of Einstein's equation encompasses the whole history of a universe—it is, not just some snapshot of how things are, but a whole, possibly matter-filled, spacetime. It describes the state of matter and geometry eve.rywhere and at every moment in that particular universe. Due to its general covariance Einstein's theory is not sufficient by itself to determine the time evolution of the metric tensor. It must be combined with a coordinate condition, which is analogous to gauge fixing in other field theories