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1 point

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9th Aug 2018

The singularity is a consequence of several (observationally backed) assertions. I haven't done a rigorous study of what is "necessary and sufficient" for a singularity, but General Relativity (plus some qft/thermodynamics) plus observational data backs it.

In short it's a logical result of some assertions we strongly believe in, not an axiom in of itself.

If you're interested, i would suggest: https://www.amazon.com/First-Course-General-Relativity/dp/0521277035/ref=sr_1_3?ie=UTF8&qid=1533784908&sr=8-3&keywords=a+first+course+in+general+relativity

If you're familiar with linear algebra and calculus, it introduces the tensor mathematics pretty well and the differential geometry you need to understand the theory.

Then I'd move to some graduate-level cosmology books. I don't really have a good recommendation there, unfortunately.

1 point

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8th Aug 2015

This was the book we used in grad school, and I didn't think it was all that great; it seemed to go too far with mathematical formalism and the physics got lost along the way. I think Schutz' book is much better.

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