Black hole

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### 10 Main Conditions of a Schwarzschild Black Hole

1\. Schwarzschild radius:

2\. Outside the event horizon: .

3\. At the event horizon: .

4\. Inside the event horizon: .

5\. Gravitational time dilation: for a stationary observer outside the horizon.

6\. Constant radial position: .

7\. Constant angular position: .

8\. Radial proper distance: on a constant-Schwarzschild-time slice.

9\. Light speed locally: remains constant for every local inertial observer in vacuum.

10\. Proper time at the horizon: A freely falling observer crosses the horizon in finite proper time; the apparent zero clock-rate factor applies to stationary Schwarzschild coordinates, not to the falling observer's own clock.

Main conclusion: Gravitational time dilation increases as a stationary observer approaches the event horizon, but physical distance and time do not simply disappear.


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