(no subject)
Can anyone suggest a guide to general relativity for someone with a pure maths background? In particular I am interested in the exact solutions and their properties. There must be a book out there for someone who is happy with UG/PG algebra and analysis but who tended to avoid anything which involved a method and has a poor grasp of the applications to anything real (and particularly actually thinking about geometry) of the pure maths she did study. In case it helps I became interested but realised I needed to start somewhere more sensible when reading about the Gödel metric and other exact solutions which permit closed timelike curves. I was also amused by the page on the Novikov self-consistency principle (especially Polchinski's paradox and the solutions) but have no idea how this works mathematically or even if that article/the principle itself is something I should be bothering to read.
I suppose I should highlight that I am never going to be a physicist and have basically no interest in the actual universe or thinking about the theory purely in terms of what might be true. I am more interested in the variety of properties (topological? geometric? not really sure what question I am asking but it is to do with structure i think?) that the exact solutions permit.
I suppose I should highlight that I am never going to be a physicist and have basically no interest in the actual universe or thinking about the theory purely in terms of what might be true. I am more interested in the variety of properties (topological? geometric? not really sure what question I am asking but it is to do with structure i think?) that the exact solutions permit.