- #1

dd331

- 4

- 0

ds

^{2}= c

^{2}(1 - R/r) dt

^{2}- (1 - R/r)

^{-1}dr

^{2}- r

^{2}d[tex]\Omega[/tex]

^{2}

Where [tex]\Omega[/tex] is the solid angle, and R is the schwarzschild radius.

What are the physical meanings of the coordinates t and r? My understanding is that r is simply the radial distance and t is the proper time of a STATIONARY observer at infinity.

If two events are separated by dt, dr, d[tex]\Omega[/tex], how would they seem to a stationary observer at some arbitrary distance r

_{0}? What is dr' and dt' (measured in the stationary frame of the observer) in terms of dr and dt? How about for a non-stationary observer?