Thanks for the helpful thoughts. I have to defend my dissertation in five months but i feel i am nowhere with lots of paradoxical sets of data and theories in my mind. The most difficult part is that i am writing this social science thesis in English as my second language. I am not confident at all about the clarity and meaningfulness of my writing. It is frustrating and takes huge time and energy to focus on my subject and at the same time avoid any ambiguity in my writing. Any comments or thoughts how i can manage such chaotic situation?
After these equations were published, other scientists used them to explore what happens to spacetime in different physical situations. In the case of objects where all the matter is concentrated into a single point, the field equations predict something unusual: the curvature of spacetime becomes so extreme that even light cannot escape. Today we know these objects actually exist as black holes, and we’ve since found evidence for them in space.
These situations where the solutions to the equations become infinite are called “singularities." Hawking’s final thesis chapter explored this idea of singularities, not for the spacetime around black holes, but for the entire universe.