2024-05-21   24902

Event Horizons Without Coordinate Singularities: the Schwarzschild Metric in Kerr-Schild Coordinates

This article introduces the spacetime geometry induced by an isolated non-rotating spherical body in general relativity. This is a good approximation to the geometry of spacetime near the earth, and it also applies to a non-rotating black hole. This article uses some easy calculations and flat-spacetime analogies to help develop intuition about the event horizon, emphasizing that it is locally nothing special even though it plays a special role on larger scales.

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