The
image of Figure 1 is
used to represent curved space, which is a two dimensional
representation of 3-D space. This is perfectly
acceptable, since most gravitational motion happens in 2-D.
Figure
1 Curved
Spacetime
The
problem
with this image is that to represent motion we need to take
into account our daily experience with gravity on Earth. In effect, gravitation is two
effects: Warping of space-time
and pulling object in. Figure 2 shows what motion looks like in curved
space with a downward gravitational pull.
Figure
2: Motion
in curved space with gravitational downward pull
In
essence,
gravitation pulls objects
moving in curved space in, towards the massive object that
creates the ‘warping of spacetime’ (otherwise called
gravitational field). When we
do not consider the inward gravitational pull of the motion
of an object in curved space, the motion looks as shown in Figure 3. The
object’s motion is not a straight line, but the curvature of
the path is not what we are used to seeing in a
gravitational field.
Figure
3: Motion
in curved space without gravity’s inwards pull
This
is
also illustrated in Figure 4, where a
blue object is at rest in curved space-time.
This object starts to move towards the massive
object creating the warping of space because, from our daily
experience, Earth’s gravity pulls things down.
Because the blue object is on a slope on curved
space, it will move down towards the hole where the massive
object is.
Figure
4: Object
at rest in curved space