The metric due to the gravitational field of a spherical mass is described by the schwarzschild metric(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Physical meanings of universal coordinates in schwarzschild metric

**Physics Forums | Science Articles, Homework Help, Discussion**