General Relativity

Problems

practice

1. Write something.
2. Write something.
3. Write something.
4. Finding the volume of a hypersphere should be something like finding the surface area of an ordinary sphere. Derive the equations for…
   1. the surface area of an ordinary sphere of radius R and
   2. the volume of a hypersphere of radius R
   Say you looked out into space and saw a galaxy 4.5 billion light years away that turned out to be the Milky Way as it was 4.5 billion years in the past. (This is about the time that the Earth was forming.) Given this hypothetical, hyperspherical universe, determine…
   3. its radius of curvature (in light years) and
   4. its volume (in cubic light years)

conceptual

1. problem