The large scale structure of space-time
by Stephen Hawking, G. F. R. Ellis, George F. R. Ellis · first published 1973
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…to modular forms in a mere 100 pgs! Princeton Lectures in Analysis, Stein & Shakarchi -- 4 books covering much of classical/modern analysis, they really shine in their discussion of applications The large scale structure of space-time, Hawking & Ellis -- The most mathematically satisfying treatment of general relativity I've found. High points include proof of singularity theorems! Spin Geometry, Lawson & Michelson -- Deep dive into…
on “Ask HN: Which books do you consider real gems in your field of work/study?” ↗I would also recommend "The Large Scale Structure of Space-Time" by Hawking and Ellis. It uses some advanced mathematics and some prior knowledge of GR, at least at the level of Schutz or Carroll, is needed, but it is a wonderful book to learn about the global structure…
on “Telescope Sees Star Dance Around Supermassive Black Hole, Proves Einstein Right” ↗…proofs of the singularity theorems, in the last year of my physics degree, after two semesters of differential geometry. Some of the things that people win the Nobel Prize for are genuinely hard. The Large Scale Structure of Space-Time is the classic. However, it's the book that Hawking was referring to in his joke about every equation halving the sales.
on “The Nobel Prize in Physics 2020” ↗I'm reading "The Large Scale Structure Of Space-Time" by Hawking and Ellis One question is whether there is a singularity at the "bottom" of a black hole. It seems to me that the gravitational collapse at the singularity of a black hole would match the…
on “Our Universe was born and lives in a black hole” ↗…by journalists who would contact him and the university asking about the paper's connection to the topic, when, of course, it had nothing to do with that. The authors of the Wikipedia article on The large-scale structure of space-time, meanwhile, find it necessary to repeatedly note that is not for a general audience, something not done for something like the phone book / MTW. The reviewer disagrees with the author on when Hawking…
on “Hawking Hawking: The Selling of a Scientific Celebrity” ↗…null cone over whose event horizon we can't see? Clearly this is a Minkowski spacetime paradigm, and I have no idea where that stands in terms of general favor. Also: further reading? I'm guessing "The large scale structure of space-time" is a bit dated ;)
on “The Big Bang Was an Explosion of Space, Not in Space” ↗