Cotton gravity on static spacetimes produces a Cotton-φ-perfect fluid structure for the spatial factor, generalizing φ-SPFST with reduction conditions, level-set geometry, and rigidity under curvature assumptions.
Masood-ul-Alam,Proof that static stellar models are spherical, General Relativity and Gravitation39, (2007), 55-85
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On the Geometry of Cotton Gravity
Cotton gravity on static spacetimes produces a Cotton-φ-perfect fluid structure for the spatial factor, generalizing φ-SPFST with reduction conditions, level-set geometry, and rigidity under curvature assumptions.