A Big Word for a Useful Analogy between Einstein's Theory of Gravity and
(for a general audience)
dept of mathematical sciences, villanova university
This is a hand-waving talk meant to convey general ideas. Details of
ingredients of this discussion are unimportant. Just try to get the big picture.
- 0. Geometry
not force determines motion in GR
- 1. NR example: spherical pendulum as "geodesic" motion
- 2. Mass curves spacetime; spacetime moves particles
- 3. How to measure test particle motion: inertial versus accelerated "rest"
frame test observers
- 4. Inertial forces, electromagnetic analogy [NR]: corrective terms to time
- 5. Nongeodesic coordinate systems: corrective terms to space derivatives
- 6. How to tell if a vector is constant along a curve in space?
- 7. How to tell if a vector is constant along a curve in spacetime?
- 8. Spatial gravitational force in GR
- 9. Gyro precession effects [GP-B]