What Is GTT and GRR?

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The only components of the metric that matter are GTT and GRR. GTT is 1 minus 2GM over R, where M is the mass of the object and R is the distance. When you're very far away from the sun in the Schwarzschild metric, the personal time that you measure on your watch is one times the time coordinate. In other words, almost no time passing compared to the people who stayed out near the sun.

My little pandemic-lockdown contribution to the world was a series of videos called The Biggest Ideas in the Universe. The idea was to explain physics in a pedagogical way, concentrating on established ideas rather than speculations, with the twist that I tried to include and explain any equations that seemed useful, even though no prior mathematical knowledge was presumed. I’m in the process of writing a series of three books inspired by those videos, and the first one is coming out now: The Biggest Ideas In The Universe: Space, Time, and Motion. For this solo episode I go through one of the highlights from the book: explaining the mathematical and physical basis of Einstein’s equation of general relativity, relating mass and energy to the curvature of spacetime. Hope it works!

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