Please rephrase your question. If mean the cave with no gym, then you have to beat the Elite 4 and get Bill's Gems.
mewtwo is in cerulean cave. the cave in in cerulean city, where misty's gym is. mewtwo in hard to catch, though.
it is impossible because you need hm surf that you get at fuchsia city after you give warden his golden teeth
Firered don't have a "solar cave"
They will be given to you if you follow the story line and wins the first gym badge. When you are walking to the cave, you will be stopped and the shoes will be given to you with a note from mom.
there is no gym leader in lavender town
no
the thunder gym in in vermillion city
You have to beat the 2nd gym.
go to the celadon city gym
In the cinnibar island gym.
beat the gym leader
The cave is called Dragon Cave and it's situated in a lake behind the city the gym is in.