Susskind’s lectures on cosmology
Save This Post as PDFAnother amazing set of 8 lectures by Lenny Susskind – cosmology this time. Thanks for sharing this, Stanford!
P.S. If you were unable to see embedded video, here is the link to the playlist I’ve created for you.
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There was an omission in his solution to that differential equation and a mistake in the second lecture. He uses the guess and check method, but the equation is separable, so he misses his free parameter. The full answer is:
The form of K depends on the choice of the form of M, and the free parameter is, of course,
. Basically, he assumed that a = 0 corresponds to t = 0.
The mistake is kind of funny because error in the video is that he said, offhandedly, at some point that an object at escape velocity goes logarithmically. Well, this is the solution to the equation for how an object at escape velocity behaves, he just didn’t notice.
Ah, he got to the constant later in the lecture.