Spherical Classification of Static Gordon Metrics with Constant Scalar Curvature

We classify radial solutions of the constant Gordon scalar-curvature equation and analyse simple zeros of the reciprocal index: optical length diverges while the affine parameter may stay finite. The record contains the English version (main file), a faithful Portuguese version, and the supplementary archive. Paper 2 of 3 on the Gordon scalar curvature and GRIN design.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-10
DOI
https://doi.org/10.5281/zenodo.24116228
Primary Topic
Advanced Differential Geometry Research
Type
preprint
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preprint

Spherical Classification of Static Gordon Metrics with Constant Scalar Curvature

Fábio Dayan Soares de Melo
Zenodo (CERN European Organization for Nuclear Research)
Advanced Differential Geometry Research
preprint

Spherical Classification of Static Gordon Metrics with Constant Scalar Curvature

Fábio Dayan Soares de Melo
preprint en

Abstract

We classify radial solutions of the constant Gordon scalar-curvature equation and analyse simple zeros of the reciprocal index: optical length diverges while the affine parameter may stay finite. The record contains the English version (main file), a faithful Portuguese version, and the supplementary archive. Paper 2 of 3 on the Gordon scalar curvature and GRIN design.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Differential Geometry Research
DOIOpen Access PDFOpenAlex
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Spherical Classification of Static Gordon Metrics with Constant Scalar Curvature — Fábio Dayan Soares de Melo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS