The metric due to the gravitational field of a spherical mass is described by the schwarzschild metric ds2 = c2 (1 - R/r) dt2 - (1 - R/r)-1 dr2 - r2 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 r0? 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?