Birkhoff’s theorem guarantees the uniqueness of this metric. For 10 points each:
[10m] Name this solution to the Einstein field equations that describes space around a static, uncharged, spherically symmetric mass.
ANSWER: Schwarzschild metric [or Schwarzschild solution; or Schwarzschild black hole; or Schwarzschild vacuum]
[10e] The Schwarzschild metric predicts this feature for a black hole at the Schwarzschild radius. These features are a boundary beyond which light cannot escape.
ANSWER: event horizons [prompt on horizons]
[10h] The Schwarzschild radius is an example of one of these locations where the metric is undefined, but do not reflect a physical divergence. These features can be avoided by using transformations like ones named after tortoises or Kruskal.
ANSWER: coordinate singularity [accept removable singularity; prompt on singularity; reject “gravitational singularity”; reject “curvature singularity”]
<MIT B, Physics>