Convex Functions and Spacetime Geometry
نویسندگان
چکیده
Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime (M, gμν) or an initial data set (Σ, hij , Kij) admitting a suitably defined convex function. We show how the existence of a convex function on a spacetime places restrictions on the properties of the spacetime geometry.
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