- #1
rrfergus
- 4
- 0
Homework Statement
An observer falls radially inward toward a black hole of mass M, which is equal to 3 solar masses, starting with zero kinetic energy at infinity. How much time is measured by this observer as he travels between radii r1 = 6GM/c2 and the event horizon?
Homework Equations
The only solution to Einstein's equations we have learned is the Schwarzschild radius, so the solution probably involves that (I'm guessing). The Schwarzschild solution is
ds2 = -c2dτ2(1 - 2GM/rc2)dt2 + dr2/(1 - 2GM/rc2) + r2(dθ2 + sin2θdσ2) in spherical coordinates.
The Attempt at a Solution
I'll be honest, I really have no idea where to even start with this problem