Oh, wow, oh, oh, wow, oh, wow, oh, wow.

Oh, wow.

Oh, my. Hello, you're listening to The Science of Everything podcast, episode 145, Relativity and Black

Holes.

I'm your host, James Fodor.

This episode is a continuation of the discussion of general relativity, which we began in

episode 136, which is the prerequisite for this episode.

In that episode, we talked about general relativity and

explained the notion of space time and how we describe velocity, distance and curvature of space

time using mathematical formalisms and how we combine these formalisms together to yield Einstein's field equations, which loosely

say that the curvature of space-time is proportional to the energy and matter content of

space-time.

And I explained how Einstein's field equations are a series of 10 coupled nonlinear partial differential equations,

which means that they're very complex and difficult to solve for any realistic cases.

However, I did say that there are some closed form, meaning sort of simply mathematically

describable solutions known to Einstein's field equations,

and I'd talk about them in a future episode. Well, now is that future episode, or at least one of

those future episodes, where we'll talk about solutions to Einstein's field equations. And in

particular, in this episode, we're going to focus on the Schwartzschild metric and how

it's able to describe or predict and describe the existence of black holes. So we'll talk about

deriving the Schwarzschild metric, how to interpret the resulting metric, and then we'll see

how the resulting metric yields predictions, which have been experimentally verified and thereby

...