Schwarzschild Metric
The Schwarzschild metric is a solution of general relativity for a neutral,
non-rotating,
spherically symmetric source mass (derivation not shown).
Write out the Taylor series expansion
of the Schwarzschild metric in
isotropic coordinates to third order in
.
Schwarzschild metric:
The five underlined terms have been confirmed experimentally. Tests
include:
- Light bending around the Sun.
-
Perihelion shift of Mercury.
-
Time delay in radar reflections off of planets.
Slide 23 had fond memories of eternal emptiness, unusual for a figure skater.