I loved reading this article. Yvonne Choquet-Bruhat's comments about the mathematics of General Relativity were beyond my understanding, but there is much to learn from her discussion of how her relationship with Einstein developed.
If you want to explore this topic from another point of view, get to know the work of Jeremy Bernstein, a theoretical physicist and long-time writer for The New Yorker. Bernstein also spent some time at the IAS when he was a young scientist, and has written a great deal about Einstein.
"When I told Lichnerowicz about Leray’s suggestion, he said “it is too difficult for a beginner”. In fact it was not so difficult. In harmonic coordinates, called then “isotherm”, introduced by Lanczos, DeDonder and Georges Darmois, the Einstein equations in vacuum look like a system of quasidiagonal, quasilinear system of second order partial differential equations hyperbolic for a Lorentzian metric."
3 years of math at Caltech, and I'm dead in the water on what that means - I don't even know the words, except that I know what second order partial differential equations are.
It's probably not as complicated as it is being made to sound.
I don't know about the "quasis" but it sounds like a linear algebra problem. Hyperbolic might be the form of the solutions to each of the differential equations, or of their combined solution. "Lorentzian metric" presumably means the usual Minkowski space of relativity.
I really love this story (no sarcasm intended at all). It's such a physicist's story. The recollections of Einstein amount to "he was a nice guy", but the bulk of the story is details about whatever problem she was working on at the time.
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[ 2.9 ms ] story [ 15.4 ms ] threadIf you want to explore this topic from another point of view, get to know the work of Jeremy Bernstein, a theoretical physicist and long-time writer for The New Yorker. Bernstein also spent some time at the IAS when he was a young scientist, and has written a great deal about Einstein.
There's beginner, and then there's 'beginner'.
I don't know about the "quasis" but it sounds like a linear algebra problem. Hyperbolic might be the form of the solutions to each of the differential equations, or of their combined solution. "Lorentzian metric" presumably means the usual Minkowski space of relativity.