How to pronounce “schwarzschild” in English

What Schwarzschild did was provide an exact solution to Einstein's equations that describes space and time,

What Schwarzschild's solution also describes, though, although he didn't think in these terms at the time, was what that space looks like

I doubt Carl Schwarzschild did either.

But then Schwarzschild geometry is really all around us.

in the Schwarzschild geometry, and I jump.

So the Schwarzschild radius, that's the event horizon.

But what I love about what Schwarzschild did is it's a thought experiment.

a mathematically accurate depiction of the Schwarzschild metric.

And the black hole solutions that were first discovered by Schwarzschild very soon after Einstein discovered general relativity, it's surprisingly simple.

But there was this interesting feature that was right there in Schwarzschild's math, which is that if instead of the sun,

Now, Schwarzschild described or discovered the solutions to Einstein's equations that describes what happens to space-time outside such a thing

Now, while Schwarzschild's solution, and by solution, I mean we're to picture a distortion in space and time,

And one of the first applications was made by someone called Karl Schwarzschild, he actually did this from the Russian front, he was in the German army in World War One and I guess

What I've got here first is an illustration of how time runs at different elevations in a Schwarzschild

You see that my clock, being relatively high up in the Schwarzschild geometry, runs faster because I'm experiencing

And that's perhaps why people like Einstein never really bothered to take this aspect of the Schwarzschild solution seriously.

although he didn't know that they existed, was a man called Karl Schwarzschild.

a distortion in the fabric of the universe, while Schwarzschild's solution does indeed describe the simplest possible black hole

And he gets a message from the Eastern Front, from a friend of his, Karl Schwarzschild, who's solved Einstein's equations, you know,

In relativity, something very, very interesting happens when you try to compress it to within what's called the Schwarzschild radius of the object.

So if you try to take all of that matter and compress it down, when it reaches to a point of that Schwarzschild radius,

And everything is so simple, just because I'm not up to drawing these beautiful funnel shapes for Schwarzschild, but otherwise, it is actually

And what's sort of alarming about that, well, first of all, that's also one way to think of why the surface, this area of the Schwarzschild

He accepted that it describes things far outside of bodies like the Earth, but the material in the Earth means that inside, it's not the Schwarzschild solution.

Who would've thought, I know John Mitchell didn't think this in the 1700s and I'm pretty sure when Schwarzschild and Einstein were fighting it out over whether black holes could

And Nils Barricelli showed up to work on biological evolution over periods of centuries, thousands of years, and another German refugee, Martin Schwarzschild showed up and did a huge number

But a bunch of other people were not intimidated, most famously, most quickly, Karl Schwarzschild, who was a German astronomer who sat in on lectures