Extrinsic Curvature Embedding Diagrams

Details Extrinsic Curvature Embedding Diagrams Extrinsic Curvature Embedding Diagrams

2003-01-05

arxiv.org/abs/gr-qc/0301012v1

Gen.Rel.Grav. 35 (2003) 1175-1189

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 4 figures

Scientific paper

Embedding diagrams have been used extensively to visualize the properties of curved space in Relativity. We introduce a new kind of embedding diagram based on the {\it extrinsic} curvature (instead of the intrinsic curvature). Such an extrinsic curvature embedding diagram, when used together with the usual kind of intrinsic curvature embedding diagram, carries the information of how a surface is {\it embedded} in the higher dimensional curved space. Simple examples are given to illustrate the idea.

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