# Is spacetime truly flat without gravitational influences?

In summary, if all gravitational influences were removed from a portion of space, it would theoretically become flat. However, this is impossible to achieve as gravity has no bounds. Additionally, even in an idealized Minkowski space-time, there are limitations due to the size of the universe.
If someone were to remove all of the gravitational influences on a portion of space would that essentially make that portion of spacetime flat? (Just curious):tongue2:

Yes it would be flat. However it is impossible to remove all influence of gravity because gravity has no bounds.

Well of couse i am speaking in theoretical terms

Always curvature, and always mass. In other words, both sides of Einstein eq. The cover of MTW is wrong also. Idealized Minkowski manifold is a tangent space to pseudo Reimannian manifold. Also try to define mass in Minkowski spacetime manifold; some modes are at infiniity.

If someone were to remove all of the gravitational influences on a portion of space would that essentially make that portion of spacetime flat? (Just curious):tongue2:

Even though you can imagine and even work with the Minkowski space-time, it is limited by the size of the universe which is finite. It occupies the space of about R=c*T where c is the light speed and T is the time since the big bang. there is no sense to speak of space where the matter or light has not reached yet.

Bob.

## 1. What is spacetime and why is it important to understand?

Spacetime is the fabric of the universe that combines the three dimensions of space and the dimension of time. It is important to understand because it is how we perceive and experience the world around us and it is the basis of Einstein's theory of general relativity.

## 2. What does it mean for spacetime to be flat?

Flat spacetime means that the curvature of spacetime is zero, meaning that objects move in a straight line and time moves at a constant rate. This is the basic assumption of Newtonian physics.

## 3. Is it possible for spacetime to be flat?

Yes, it is possible for spacetime to be flat. In fact, in certain situations, such as in the absence of massive objects, spacetime is considered to be flat. However, in the presence of massive objects, spacetime is curved due to the effects of gravity.

## 4. How do we measure the curvature of spacetime?

The curvature of spacetime can be measured using Einstein's field equations, which relate the distribution of matter and energy in a given space to the curvature of spacetime.

## 5. What implications would a flat spacetime have on our understanding of the universe?

If spacetime were found to be flat, it would challenge our current understanding of the universe as described by Einstein's theory of general relativity. It would also have implications for our understanding of the expansion of the universe and the behavior of massive objects such as black holes.

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