I've read about general relativity (GR) recently and something stroke me: Einstein came up with his equations in 1915, linking the metric of spacetime to the distribution of energy (more exactly, to the stress-energy tensor), without providing any specific solution to those equations.
It was only a few months later that Schwarzschild came up with the famous solution for a non-rotating spherically symmetric mass distribution and that particular solution provided strong arguments for Einstein's equations as it simplified to Newton's law under classical physics assumptions.
Years later in 1922, another solution (under homogeneity/isotropy assumptions about the whole universe, see FLRW metric) was found and explained some empirical observations (e.g., cosmological redshift).
- Why didn't Einstein provide any specific solution to his equations? I mean, wouldn't it be the first thing to look for?
- How were people convinced GR was an acceptable theory when he came without a specific solution to demonstrate consistency with Newtonian physics or other empirical observations?