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arXiv · 1702.05584

Convex Functions and Spacetime Geometry

Gary W. Gibbons·Akihiro Ishibashi
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Abstract

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 $(M,g_{\mu \nu})$ or an initial data set $(\Sigma, h_{ij}, K_{ij})$ 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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BibTeXRIS

Gary W. Gibbons, Akihiro Ishibashi. 2017-02-18. Convex Functions and Spacetime Geometry. https://arxiv.org/abs/1702.05584

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