This paper explains why the JWST won't see the first galaxies. Among the farthest galaxies it sees will be ones that look much older than expected. The case is made that, rather than assume that galaxies can mature faster than we thought, we should adopt a model of the universe in which space itself doesn't expand. The new model is based on a new, experimentally confirmed metric for Schwarzschild geometry. Unlike the Schwarzschild metric, the new metric obeys the equivalence principle, so it can explain our observations when space itself doesn't expand. In the new model: space expands relatively, so that the expansion depends on the observer; an object thrown upward can accelerate up; black holes aren't predicted, so there's no black hole information paradox; and there's no flatness problem, horizon problem, or need for dark energy. Code is given to numerically integrate the relativistic motion of an object thrown upward. The code shows that equations of special relativity approximate the new metric locally, as required for the metric to obey the equivalence principle.