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.
Harada,Emergence of the Cotton tensor for describing gravity, Phys
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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.