Here I’m assuming that the Earth, rather than not rotating at all (which would result in one-year-long days), is in “phase lock” with the Sun the same way the Moon is in phase lock with the Earth. It’s the same distance from the Sun as the Earth is, so it’s a good test case. That’s cold enough to freeze oxygen and nitrogen solid, even without air pressure. For water at least, this is an effect already at work on our Earth (“spin Earth”?, “Rotopolis”? That’s why (for example) the Antarctic ice cap is on average about as thick as the ocean is deep!