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2 votes
2 answers
917 views

Theoretically, can perfectly flat space exist in the universe?

According to general relativity, mass and energy cause the curvature of space. To have perfectly flat space, there must be a completely empty vacuum state with no mass or energy. Theoretically, is it ...
NOH WHIREA's user avatar
2 votes
7 answers
1k views

I can't wrap my head around the idea of matter interacting with spacetime. How is the interaction taking place? [closed]

I have tried Googling this for a long time. I have read many forums on this. But still, it doesn't make sense. General relativity says that space-time is bent/changes when a massive object is there. ...
interstellarPotato's user avatar
13 votes
3 answers
2k views

Does vacuum spacetime have an inherent curvature?

I am a complete novice in physics beyond the high school level, so please excuse anything wrong in my question. So I have recently read that according to General Relativity, the presence of mass in ...
Aditya Malhotra's user avatar
-3 votes
1 answer
106 views

How do galaxies move through space-time?

If we assume that galaxies only consist of planets, stars, and space, then how do galaxies move through space? How do you move empty space, or is it that space remains same, but the planets, stars, ...
Prakhar Soni's user avatar
0 votes
1 answer
559 views

Curvature of space without mass or energy [duplicate]

Are there solutions of Einstein's equation $$ R_{i,k}=0 $$ which imply there are 'curvature' without matter or energy? For example, space is curved but there are no matter or any energy there so an ...
Jose Javier Garcia's user avatar
3 votes
2 answers
245 views

Einstein field equation specific solution

Do Einstein's field equations admit a solution such that spacetime was empty in the past of a hypersurface of constant time say $t =0$, but in the future there exists a non-vanishing energy momentum-...
MicrosoftBruh's user avatar
1 vote
4 answers
131 views

Can spacetime be curved even in absence of any source? [duplicate]

Einstein's equation in absense of any source (i.e., $T_{ab}=0$) $$R_{ab}-\frac{1}{2}g_{ab}R=0$$ has the solution $$R_{ab}=0.$$ But I think $R_{ab}=0$ does not imply that all components of the Riemann-...
Solidification's user avatar
5 votes
2 answers
2k views

Does a vacuum solution to the Einstein equation imply flat spacetime?

I have read that a solution to the vacuum Einstein equation has a vanishing Einstein tensor, and therefore a vanishing stress-energy tensor. This means that there is no matter to generate spacetime ...
Superbee's user avatar
  • 661
1 vote
0 answers
55 views

Einstein equation outside of the source

When solving Einstein equation outside the source it is assumed that we have $R=0$ where $R$ is Ricci tensor. But if we have as a source Earth and for example, a black hole, how can this equation ...
Žarko Tomičić's user avatar
3 votes
3 answers
815 views

If all matter were removed from space-time, what would be remaining?

I would like to gain an understanding of the nature of the characteristics of space, as described in Einstein's theories. I appreciate that an answer using the language of mathematics is probably most ...
Alan Alexander's user avatar