...So i will ask you to google ''Big Rip Theory.''
I did. All of the references are essentially the same as Wiki's text, which states:
"...First, the galaxies would be separated from each other. About 60 million years before the end, gravity would be too weak to hold the Milky Way and other individual galaxies together. Approximately three months before the end, the Solar system would be gravitationally unbound. In the last minutes, stars and planets would be torn apart, and an instant before the end, atoms would be destroyed.
The authors of this hypothesis, led by Robert Caldwell of Dartmouth College, calculate that the end of the universe as we now know it would be in approximately 50 billion years. ..."
Yes I have heard of that, several years ago, but it has nothing to do with your statement about space/time being ripped apart. Both space and time are well preserved, during this ripping apart of mater. Space is not "ripped" at all, only expanded.
BTW that last part (about the atoms being destroyed), is quite speculative. Perhaps this "dark energy force" is really a "gravity canceling" or "gravity absorption" effect, only miss-named as a (fifth) "force." It might then have no effect on even chemical compounds, not even on large salt crystals etc. but the spinning Earth would break up into much smaller pieces as it is gravity which now prevents that.
Dark energy (or something) is now greater than gravity's force on space scale of more than approximately a billion light years and appear to be growing stronger as the universe expands. If there is a direct link between the strength of this "anti-gravity" force, which is accelerating the the expansion of the universe, the expansion of space, then then there will come a time in the future when even on smaller spatial scales, (like galaxy size scales) that it overpowers gravitational attraction and galaxies begin to separate in to isolated solar systems with increasing average distance between them. As it continues to grow stronger, it will over come the sun's gravitation attraction for the planets, including Earth (but we need not worry about that as the sun will have ceased to shine before that happens.)
Your communication problems have made you completely missunderstand what you have read about the "big rip". Space time are not ripped as you stated. That is a nonsensical logically impossible idea - no with less* meaning than "Elephant eggs are blue." has. It is the matter that is ripped apart within space time.
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* The sentence "Elephant eggs are blue." is not logically impossible, only non- factual. "Space is ripped apart."is both non-factual AND logically impossible.