- #1
Loren Booda
- 3,125
- 4
Can you show that a closed spacetime may embody one (or even an infinity of) geodesics with infinite length? How does this influence local curvature?
Endless geodesics are paths or trajectories that do not have an end point and continue infinitely in a closed spacetime. This means that they are not affected by the curvature of spacetime and can continue in a loop indefinitely.
Unlike other types of geodesics, which may be affected by the curvature of spacetime and have an end point, endless geodesics are unaffected by the curvature and continue infinitely without a defined end point.
Endless geodesics are a result of the geometry of closed spacetime, which allows for paths to loop back onto themselves without encountering any obstacles or boundaries.
No, endless geodesics can only exist in closed spacetime due to the specific curvature and geometry of this type of spacetime.
The existence of endless geodesics challenges our traditional understanding of spacetime and raises questions about the nature of time and space. It also has implications for concepts such as causality and the possibility of time travel.