General Relativity: An Introduction for Physicists · Problem 9.11

The Schwarzschild geometry — Hobson, Efstathiou & Lasenby

Physics · radial-infall-from-infinity

Problem

For a particle dropped from rest at infinity in the Schwarzschild geometry, find expressions for

t(r)

and

\tau(r)

, where

t

is the coordinate time and

\tau

is the proper time of the particle.