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The sun will destroy the earth long before it stops providing energy.
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Why would the sun’s energy be taken away?
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It's the impending and inevitable heat death of the universe... several billions of years away...
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Our nearest star, Sol, will grow cold well before then.

But even that is estimated to take trillions of years after it runs out of hydrogen for fusion.

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I think you're off by about 90 orders of magnitude for the actual heat death
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We still have our core

There may be rogue planets out there sustaining life far from any star..

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There is. They had a civilization long ago, but now they're down to a small village and only have a radio that they use once every 1000 years.

I managed to talk to them a few years back on my ham. They asked me to send them energy, I told them we'd need to figure out fusion energy first and that we'd get back to them next millenium.

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