Einstein's Field equation of space curvature indicates a finite Universe or a continuous growing One?

Question

If The Universe would be constinously growing then there is no limit to its curvature and Einstein's field equation still apply?

Answer 1

Actually, solutions to Einstein's field equation indicate that the Universe can be either (1) flat, (2) positively curved (like a sphere)or (3) negatively curved (like a saddle). All three curvatures of spacetime equally satisfies Einstein's equation. Also, I believe the solution indicated that the Universe is finite, but "unbounded".

Current data from the WMAP satellite tells us that the curvature of spacetime of our Universe is FLAT.

Answer 2

it can not, and it particularly is not. "They tells me that the universe is countless, with out centre and doubtless no area (in spite of the undeniable fact that there could be and if there is, we can't see it). besides the undeniable fact that, the universe additionally exists in a finite portion of area." The universe does not have a midsection, nor does it have an "area". As Clive and Rose element out, it extremely is hyperspherical in geometry, and subsequently is a finite, unbounded floor quantity of area wrapped around a hyperspatial axis. you could shuttle indefinitely in any course, an analogous way you could shuttle indefinitely alongside the face of the Earth, however the exterior quantity of the universe and the exterior portion of the Earth are nonetheless the two thoroughly finite. Lharvey - "yet what's countless is the gap that it extremely is increasing out into. that 3 dimensional emptiness particularly is going on for infinity in all 3 spatial dimensions." The universe is a self-contained phenomenon. it particularly is not increasing "into" something. there is likewise no "emptiness" that is going on in any respect. the whole quantity of the universe is permeated via the CMBR, as nicely as a skinny hydrogen gas, or perhaps in the indoors maximum of intergalactic voids, there is no element in the universe, everywhere, which you're extremely a variety hundreds of thousands of sunshine-years from a galaxy. no count number the place you bypass in the universe, you will *continually* be rather close to a minimum of something. GoodAdvice - "A rapidly line vacationing on the fee of sunshine from the place the great Bang occurred will mark the sting of the universe, considering that's the barrier the place time exists, and by way of the restrictions of the fee of sunshine it extremely is impossible to get previous this." i'm not precisely specific what it extremely is you're attempting to assert. the great Bang grew to become into the enlargement of area itself. there is no "place" the place "the great Bang occurred", there is no "edge of the universe", and "the barrier the place time exists" would not even start to make sense.

Answer 3

The actual situation would be more complex.