Shapefinders: A New Shape Diagnostic for Large-Scale Structure | Zendy

Varun Sahni | Zendy; B. S. Sathyaprakash | Zendy; S. F. Shandarin | Zendy

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Shapefinders: A New Shape Diagnostic for Large-Scale Structure

Author(s) -

Varun Sahni,

B. S. Sathyaprakash,

S. F. Shandarin

Publication year - 1998

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/311214

Subject(s) - minkowski space , surface (topology) , generalization , curvature , scale (ratio) , ellipsoid , cosmic microwave background , geometry , simple (philosophy) , genus , statistical physics , physics , mathematics , mathematical analysis , optics , quantum mechanics , philosophy , epistemology , astronomy , anisotropy , botany , biology

We construct a set of shape-finders which determine shapes of compactsurfaces (iso-density surfaces in galaxy surveys or N-body simulations) withoutfitting them to ellipsoidal configurations as done earlier. The new indicatorsarise from simple, geometrical considerations and are derived from fundamentalproperties of a surface such as its volume, surface area, integrated meancurvature and connectivity characterized by the Genus. These `Shapefinders'could be used to diagnose the presence of filaments, pancakes and ribbons inlarge scale structure. Their lower-dimensional generalization may be useful forthe study of two-dimensional distributions such as temperature maps of theCosmic Microwave Background.Comment: Latex (8 pages with aaspp.sty) requires \usepackage{graphicx}). To appear in ApJ Let

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