Physics Guess – Could Much Heat Effect Gravity?

After watching sonoluminesence. I wonder. Could very high temperatures (?20 000 K) affect gravity. I mean. The bubble seem to stand still. Even if this is caused only by the sound generators. Two stabilizing effects could take place at the same time?

From this I wonder if the sun could adjust its gravity. I mean. For a large hot object. It would not be so safe if it took off in some random direction. Or having its surface move like a ?tidal wave. Having a temperature of millions of degrees. It has plenty of energy for this would be ?smart adjustment.

I would be surprised if such a large hot object like the sun cant adjust a so important parameter like gravity even a little.