Hi guys,
Ok let's start with the hypothetical analogy of a plane going around the planet - it goes in what it thinks is a straight line, but actually that line is curved.
However if that plane actually flew from a point on earth to another point in the universe, is that line also curved?
I guess another way of asking is: I can see how space-time curvature and the imaginary 'dents' created in the space-time blanket by all these big spheres (planets, stars etc) can make curves appear straight, but I am confused by the fact that the objects of reference in all the space-time things that I am reading are basically spherical in shape. (planets, stars, etc). So is this curve the same for all/other situations? If the plane leaves Earth's gravity and heads towards a different source of gravity, or is pulled slightly in all different ways between here and a distant star, from many different 'dents', what would the line from point A to point B look like then? Presumably it still appears straight to the pilot in the plane, but would the actual line still be curved? Would it be curved in all different directions, depending on the nearest masses creating gravity, or just one gradual curve, like the plane going around the planet? Or, similarly, is space-time still curved on a planet or large mass the shape of a cube?