Is the Earth just a mass within a vast, curved space-time fabric?

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The discussion centers on the nature of Earth's existence within the framework of general relativity, questioning whether the Earth is merely a mass within a curved space-time fabric. Participants express confusion about the concept of space-time, with one suggesting that the surrounding space may not exist independently but rather as a plane encompassing the Earth. The distinction between vacuum solutions in general relativity, where spacetime is curved by the presence of matter, is highlighted. There is a debate about visual representations of space-time, with some arguing that they often depict a flat model rather than a true representation of curvature. Overall, the conversation reflects a struggle to grasp the complexities of space-time and its implications for understanding Earth's position in the universe.
doey
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I have no idea about it,

as my understanding,that Mr.Einstein depicted that what actually happening in space are above on a plane and flat Space-time fabric.Is this telling us that the Earth around is nothing ?What i trying to say is the surrounding of a mass might not exist only a plane of space-time fabric but is totally covered the Earth itself .just like a ball inside a box,and the volume of box is infinite as space(space and time) mean we are not living on a flat space but contented in whole of it. would it be?:bugeye:
 
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I find it difficult to understand your questions.

In general relativity there is a distinction between vacuum solutions, which represent spacetime where there is no matter, but this spacetime may be curved by the presence of matter elsewhere.
 
Mentz114 said:
I find it difficult to understand your questions.

In general relativity there is a distinction between vacuum solutions, which represent spacetime where there is no matter, but this spacetime may be curved by the presence of matter elsewhere.

ya,i was talking abt this ,by the way what was illustrate as u can watching on youtube are in flat and plane.

what i was stated that the bent of the spacetime should like this
 
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In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to keep the arrow pointed in the same direction How does he do this ? Does he use a reference point like the stars? (that only move very slowly) If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in? So ,although one refers to intrinsic curvature...

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