doing research/project on spacetime curvature

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So I recently undertook the daunting task of presenting a project on general relativity for a differential geometry course.

Does anyone have any suggestions for topic or topics to narrow it down to?

I have about a month and a half to work on this.

Reading material suggestions would also be greatly appreciated!

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Semi-Riemannian geometry : with applications to relativity by Barrett O'Neill

The Cauchy Problem in General Relativity by Ringstrom

On the Topology and Future Stability of the Universe by Ringstrom