Tuesday, August 28, 2012

[tssuozir] Relativistic volume and surface area

What is the volume and surface area of the Earth (perhaps idealized), taking into account the general relativistic curvature of spacetime caused by the Earth's gravity?  What is the difference (defect) from the Euclidean volume and surface area?

What happens at even more extreme curvature, like the volume and surface area of the escape horizon of a black hole?

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